Question

1. solve the proportion

$\frac{5}{2} = \frac{x}{7}$

1. solve the proportion.

$\frac{x}{10} = \frac{5}{9}$

1. solve the proportion

$\frac{5}{x} = \frac{2}{3}$

Explanation:

Problem 1: Solve the proportion $\boldsymbol{\frac{5}{2} = \frac{x}{7}}$

Step1: Cross - multiply

Cross - multiplying the proportion $\frac{5}{2}=\frac{x}{7}$ gives us $2\times x = 5\times7$.
$2x=35$

Step2: Solve for x

Divide both sides of the equation $2x = 35$ by 2.
$x=\frac{35}{2}=17.5$

Step1: Cross - multiply

Cross - multiplying the proportion $\frac{x}{10}=\frac{5}{9}$ gives us $9\times x=5\times10$.
$9x = 50$

Step2: Solve for x

Divide both sides of the equation $9x = 50$ by 9.
$x=\frac{50}{9}\approx5.56$

Step1: Cross - multiply

Cross - multiplying the proportion $\frac{5}{x}=\frac{2}{3}$ gives us $2\times x=5\times3$.
$2x = 15$

Step2: Solve for x

Divide both sides of the equation $2x = 15$ by 2.
$x=\frac{15}{2}=7.5$

Answer:

$x = \frac{35}{2}$ (or $x = 17.5$)

Problem 2: Solve the proportion $\boldsymbol{\frac{x}{10}=\frac{5}{9}}$