To solve the proportion \( \frac{4.5}{0.6} = \frac{x}{2.4} \), we can use cross-multiplication.
Cross-multiply: \[ 4.5 \cdot 2.4 = 0.6 \cdot x \]
Calculate \( 4.5 \cdot 2.4 \): \[ 4.5 \cdot 2.4 = 10.8 \]
Now we have the equation: \[ 10.8 = 0.6 \cdot x \]
To find \( x \), divide both sides by \( 0.6 \): \[ x = \frac{10.8}{0.6} \]
Calculate \( \frac{10.8}{0.6} \): \[ x = 18 \]
So, the value of \( x \) is \( 18 \).