Question

solve for \\(z\\).

\\\frac{4}{z} = \frac{12}{5}\\

\\(z =\\)

Explanation:

Set up the proportion equation

$$ \frac{4}{z} = \frac{12}{5} $$

Apply cross-multiplication

$$ 4 \cdot 5 = 12 \cdot z $$

$$ 20 = 12z $$

Solve for z

$$ z = \frac{20}{12} = \frac{5}{3} $$

Answer:

Solve for \(z\).

$$\frac{4}{z} = \frac{12}{5}$$

\(z =\) <blank>\(\frac{5}{3}\)</blank>