Question

solve proportions
example
\\(\frac{a}{4}=\frac{27}{18}\\)
what do you multiply 27 by to get a? 18\\(\times\\)\\(\frac{2}{9}\\)=4.
so multiply 27 by \\(\frac{2}{9}\\).
a = 27\\(\times\\)\\(\frac{2}{9}\\)=6
solve for x.

1. \\(\frac{x}{5}=\frac{18}{30}\\)

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1. \\(\frac{x}{12}=\frac{24}{36}\\)

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1. \\(\frac{3}{9}=\frac{x}{3}\\)

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1. \\(\frac{14}{15}=\frac{x}{75}\\)

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1. \\(\frac{8}{x}=\frac{14}{7}\\)

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1. \\(\frac{14}{x}=\frac{2}{5}\\)

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1. \\(\frac{5}{6}=\frac{x}{15}\\)

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1. \\(\frac{81}{33}=\frac{x}{5.5}\\)

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Explanation:

Step1: Cross-multiply to isolate x

$x \times 30 = 5 \times 18$

Step2: Calculate both sides

$30x = 90$

Step3: Divide by 30 to solve x

$x = \frac{90}{30} = 3$

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Step1: Cross-multiply to isolate x

$x \times 36 = 12 \times 24$

Step2: Calculate both sides

$36x = 288$

Step3: Divide by 36 to solve x

$x = \frac{288}{36} = 8$

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Step1: Cross-multiply to isolate x

$3 \times 9 = x \times 3$

Step2: Calculate both sides

$27 = 3x$

Step3: Divide by 3 to solve x

$x = \frac{27}{3} = 9$

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Step1: Cross-multiply to isolate x

$14 \times 75 = 15 \times x$

Step2: Calculate both sides

$1050 = 15x$

Step3: Divide by 15 to solve x

$x = \frac{1050}{15} = 70$

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Step1: Cross-multiply to isolate x

$8 \times 7 = 14 \times x$

Step2: Calculate both sides

$56 = 14x$

Step3: Divide by 14 to solve x

$x = \frac{56}{14} = 4$

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Step1: Cross-multiply to isolate x

$14 \times 5 = 2 \times x$

Step2: Calculate both sides

$70 = 2x$

Step3: Divide by 2 to solve x

$x = \frac{70}{2} = 35$

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Step1: Cross-multiply to isolate x

$5 \times 15 = 6 \times x$

Step2: Calculate both sides

$75 = 6x$

Step3: Divide by 6 to solve x

$x = \frac{75}{6} = 12.5$

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Step1: Cross-multiply to isolate x

$81 \times 5.5 = 33 \times x$

Step2: Calculate both sides

$445.5 = 33x$

Step3: Divide by 33 to solve x

$x = \frac{445.5}{33} = 13.5$

Answer:

1. $x=3$
2. $x=8$
3. $x=9$
4. $x=70$
5. $x=4$
6. $x=35$
7. $x=12.5$
8. $x=13.5$