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Finding the Fourth Proportional to 9,754.53, 14,631.72 and 5,072.13

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Solution

The fourth proportional to 9,754.53, 14,631.72 and 5,072.13 is: 7,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.53 : 14,631.72 = 5,072.13 : x
  2. Step 2: Convert to fraction form
    9,754.53/14,631.72 = 5,072.13/x
  3. Step 3: Cross multiply
    9,754.53x = 14,631.72 × 5,072.13
  4. Step 4: Simplify right side
    9,754.53x = 74,213,985.96
  5. Step 5: Solve for x
    x = 74,213,985.96/9,754.53
  6. Step 6: Final answer
    x = 7,608.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.