Question

Solve each proportion. If necessary, round to nearest hundredth.

$\frac{7}{1.066}=\frac{z}{9.65}$

Short answer

The value of $z=63.37$.

Step-by-step solution

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers.

Step-2. Find the cross products.

The given ratios can be simplified by doing cross product:

$$\begin{gathered} \frac{7}{1.066}=\frac{z}{9.65} \\ 9.65\left(7\right)=\left(z\right)1.066 \end{gathered}$$

Step-3. Simplify for z.

To further simplify, divide each side by 1.066.

$\begin{array}{c}9.65\left(7\right)=\left(z\right)1.066\\ \text{67.55}=\text{1.066z}\\ \frac{\text{67.55}}{1.066}=\frac{\text{1.066z}}{1.066}\\ z=63.37\end{array}$

Therefore, the value of $z=63.37$.