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Finding the Fourth Proportional to 12,610.97, 17,402.80 and 7,234.31

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Solution

The fourth proportional to 12,610.97, 17,402.80 and 7,234.31 is: 9,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.97 : 17,402.80 = 7,234.31 : x
  2. Step 2: Convert to fraction form
    12,610.97/17,402.80 = 7,234.31/x
  3. Step 3: Cross multiply
    12,610.97x = 17,402.80 × 7,234.31
  4. Step 4: Simplify right side
    12,610.97x = 125,897,289.05
  5. Step 5: Solve for x
    x = 125,897,289.05/12,610.97
  6. Step 6: Final answer
    x = 9,983.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.