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Finding the Fourth Proportional to 6,951.13, 10,437.10 and 6,016.97

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Solution

The fourth proportional to 6,951.13, 10,437.10 and 6,016.97 is: 9,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.13 : 10,437.10 = 6,016.97 : x
  2. Step 2: Convert to fraction form
    6,951.13/10,437.10 = 6,016.97/x
  3. Step 3: Cross multiply
    6,951.13x = 10,437.10 × 6,016.97
  4. Step 4: Simplify right side
    6,951.13x = 62,799,687.50
  5. Step 5: Solve for x
    x = 62,799,687.50/6,951.13
  6. Step 6: Final answer
    x = 9,034.46

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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.