Use cross multiplication to decide whether the following proportion is true or false. \( \frac{4}{15}=\frac{8}{75} \) Is the proportion true or false? true false
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Let’s cross-multiply: \(4 \times 75\) gives us \(300\). Now, \(15 \times 8\) gives us \(120\). Since \(300\) is not equal to \(120\), this proportion is false! Proportions can seem tricky, but remember—if the cross products don’t match, it’s a no-go! In real-life applications, proportions are super handy! For example, if you’re cooking and you need to double a recipe, checking the proportions of ingredients ensures that you maintain the same taste and texture. So, whether you're in the kitchen or solving math problems, knowing how to verify proportions will come in handy!
