Solve the proportion for \( n \) \[ \frac{n}{4}=\frac{13}{20} \] \( n \cdot 20=4 \) \( 20 n= \)

To solve the proportion \(\frac{n}{4} = \frac{13}{20}\), you can cross-multiply. This means multiplying across the equal sign: \(n \cdot 20 = 4 \cdot 13\). So, \(20n = 52\). Next, divide both sides by 20 to isolate \(n\): \[ n = \frac{52}{20} = \frac{13}{5} = 2.6. \] So, \(n = 2.6\) is the solution! Did you know that proportions have been used since ancient civilizations? The ancient Egyptians utilized similar ratios in their architecture, including the great pyramids, ensuring they stood the test of time. Proportional relationships are fundamental in art and design, too, helping achieve balance and harmony in visual creations. In real life, proportions help us when scaling recipes or adjusting measurements in DIY projects. If you're doubling a recipe for cookies, simply keep the proportions consistent. Be careful, though, as it’s easy to miscalculate if you're not paying attention to the units! For example, if a recipe calls for 1/2 cup of sugar, doubling it should give you 1 cup, not 1/2 cup multiplied by 2 without considering the fractions!