Do the ratios \( 4: 1 \) and \( 44: 11 \) form a proportion? yes

To determine if \( 4:1 \) and \( 44:11 \) form a proportion, we can cross-multiply. The proportion states that \( \frac{4}{1} = \frac{44}{11} \). Cross-multiplying gives us \( 4 \times 11 = 44 \) and \( 1 \times 44 = 44 \). Since both products are equal, the two ratios do indeed form a proportion! Proportions are often used in real life, especially in cooking, where you might need to scale a recipe up or down. For instance, if a recipe calls for \( 4 \) cups of flour to make \( 1 \) cake, and you want to make \( 44 \) cakes, you'd need to maintain that \( 4:1 \) ratio with flour and cakes, leading you to use \( 176 \) cups of flour (since \( 4 \times 44 = 176 \))! In your calculations, always double-check your multiplication to avoid common mistakes. It's easy to miscalculate when working with larger numbers, so keep your numbers organized and simplify wherever possible. For instance, breaking down \( 44:11 \) to \( 4:1 \) might make it easier to visualize that they indeed match up!