Question

4 solve the proportion
\\(\frac{12}{7} = \frac{80}{x}\\)

1. solve the proportion.

\\(\frac{6}{5} = \frac{11}{x}\\)

6 solve the proportion
\\(\frac{3}{8} = \frac{x}{30}\\)

Explanation:

Problem 4: Solve the proportion $\boldsymbol{\frac{12}{7} = \frac{80}{x}}$

Step 1: Cross - multiply

Cross - multiplying gives us $12\times x = 7\times80$. So, $12x=560$.

Step 2: Solve for $x$

Divide both sides of the equation by 12. $x=\frac{560}{12}=\frac{140}{3}\approx46.67$ (if we want a decimal approximation) or we can leave it as a fraction $\frac{140}{3}$.

Step 1: Cross - multiply

Cross - multiplying gives $6\times x = 5\times11$. So, $6x = 55$.

Step 2: Solve for $x$

Divide both sides by 6. $x=\frac{55}{6}\approx9.17$ (decimal approximation) or as a fraction $\frac{55}{6}$.

Step 1: Cross - multiply

Cross - multiplying gives $8\times x=3\times30$. So, $8x = 90$.

Step 2: Solve for $x$

Divide both sides by 8. $x=\frac{90}{8}=\frac{45}{4} = 11.25$.

Answer:

$x = \frac{140}{3}$ (or approximately $46.67$)

Problem 5: Solve the proportion $\boldsymbol{\frac{6}{5}=\frac{11}{x}}$