Question

solving for the missing proportions version 1
1
$\frac{4}{10} = \frac{32}{x}$
answer: ______
2
$\frac{k}{3} = \frac{90}{10}$
answer: ______
3
$\frac{q}{3} = \frac{2}{6}$
answer: ______
4
$\frac{15}{5} = \frac{y}{4}$
answer: ______
5
$\frac{20}{5} = \frac{4}{z}$
answer: ______
6
$\frac{6}{12} = \frac{b}{6}$
answer: ______
7
$\frac{c}{3} = \frac{126}{18}$
answer: ______
8
$\frac{8}{5} = \frac{w}{15}$
answer: ______
9
$\frac{35}{7} = \frac{25}{x}$
answer: ______
10
$\frac{2}{6} = \frac{7}{d}$
answer: ______

Explanation:

Problem 1

Step1: Cross-multiply to isolate $x$

$4x = 32 \times 10$

Step2: Calculate right-hand side

$4x = 320$

Step3: Solve for $x$

$x = \frac{320}{4} = 80$

Problem 2

Step1: Cross-multiply to isolate $k$

$10k = 90 \times 3$

Step2: Calculate right-hand side

$10k = 270$

Step3: Solve for $k$

$k = \frac{270}{10} = 27$

Problem 3

Step1: Cross-multiply to isolate $q$

$6q = 2 \times 3$

Step2: Calculate right-hand side

$6q = 6$

Step3: Solve for $q$

$q = \frac{6}{6} = 1$

Problem 4

Step1: Cross-multiply to isolate $y$

$5y = 15 \times 4$

Step2: Calculate right-hand side

$5y = 60$

Step3: Solve for $y$

$y = \frac{60}{5} = 12$

Problem 5

Step1: Cross-multiply to isolate $z$

$20z = 4 \times 5$

Step2: Calculate right-hand side

$20z = 20$

Step3: Solve for $z$

$z = \frac{20}{20} = 1$

Problem 6

Step1: Cross-multiply to isolate $b$

$12b = 6 \times 6$

Step2: Calculate right-hand side

$12b = 36$

Step3: Solve for $b$

$b = \frac{36}{12} = 3$

Problem 7

Step1: Cross-multiply to isolate $c$

$18c = 126 \times 3$

Step2: Calculate right-hand side

$18c = 378$

Step3: Solve for $c$

$c = \frac{378}{18} = 21$

Problem 8

Step1: Cross-multiply to isolate $w$

$5w = 8 \times 15$

Step2: Calculate right-hand side

$5w = 120$

Step3: Solve for $w$

$w = \frac{120}{5} = 24$

Problem 9

Step1: Cross-multiply to isolate $x$

$35x = 25 \times 7$

Step2: Calculate right-hand side

$35x = 175$

Step3: Solve for $x$

$x = \frac{175}{35} = 5$

Problem 10

Step1: Cross-multiply to isolate $d$

$2d = 7 \times 6$

Step2: Calculate right-hand side

$2d = 42$

Step3: Solve for $d$

$d = \frac{42}{2} = 21$

Answer:

1. $x=80$
2. $k=27$
3. $q=1$
4. $y=12$
5. $z=1$
6. $b=3$
7. $c=21$
8. $w=24$
9. $x=5$
10. $d=21$