QQuestionMathematics
QuestionMathematics
What x-value makes the set of ratios equivalent?
2:3 = 6:x
4:7 =x:42
2x:48 = 3:12
12:15 =x:20
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Understand the problem
We need to find the x-value that makes all these ratio proportions true.
Step 3:: First ratio - 2:3 = 6:x
x = 9
Cross multiply:
Step 4:: Second ratio - 4:7 = x:42
x = 24
Cross multiply:
Step 5:: Third ratio - 2x:48 = 3:12
x = 6
\frac{2x}{48} = \frac{1}{4}
Step 6:: Fourth ratio - 12:15 = x:20
x = 16
Cross multiply:
Step 7:: Compare the results
We have different x values: 9, 24, 6, and 16.
Final Answer
There is no single x-value that satisfies all four ratios simultaneously.
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