Chapter 6.2, Problem 16E

To determine

To solve the proportion by using equivalent ratios.

Answer to Problem 16E

The solution of the given proportion is $b=13$ .

Explanation of Solution

Given information : the proportion is given as,

  $\frac{b}{15}=\frac{26}{30}$

Calculation : the given proportion can be calculated as,

  $\begin{array}{l}\frac{b}{15}=\frac{26}{30}\\ \frac{b}{15\times 2}=\frac{26}{30}\left[\text{compare denominators}\right]\\ \frac{b\times 2}{30}=\frac{26}{30}\left[\text{find }b\right]\\ 2b=26\\ 2b÷2=26÷2\left[\text{ divide each side by 2}\right]\\ b=13\end{array}$

Because,

  $\begin{array}{l}2b=26\\ b=13\end{array}$