Question
Find the number that makes the ratio equivalent to
.
Ask by Graham Tyler. in the United States
Dec 23,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number that makes the ratio
equivalent to
is 77.
Solution

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The Deep Dive
To find the missing number in the ratio
that is equivalent to
, we can set up a proportion.
Starting with the equivalent ratios, we have:
Cross multiplying gives us:
Calculating
, we now have:
Dividing both sides by 9 will give us:
Thus, the missing number is
, making the complete ratio
equivalent to
.
For an interesting twist, did you know the concept of equivalent ratios has been used since ancient cultures? The Egyptians, for example, understood and used ratios for their art and architecture long before we had the terminology we use today!
Additionally, understanding ratios is not just a math exercise; it’s a super handy tool in the real world! Whether you’re cooking and need to adjust a recipe (like doubling ingredients while keeping the same flavor), or when mixing colors to get the perfect shade, understanding ratios lets you be a master chef or a fantastic artist!