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Finding the Fourth Proportional to 10,462.97, 15,751.02 and 9,531.90

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Solution

The fourth proportional to 10,462.97, 15,751.02 and 9,531.90 is: 14,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.97 : 15,751.02 = 9,531.90 : x
  2. Step 2: Convert to fraction form
    10,462.97/15,751.02 = 9,531.90/x
  3. Step 3: Cross multiply
    10,462.97x = 15,751.02 × 9,531.90
  4. Step 4: Simplify right side
    10,462.97x = 150,137,147.54
  5. Step 5: Solve for x
    x = 150,137,147.54/10,462.97
  6. Step 6: Final answer
    x = 14,349.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.