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Finding the Fourth Proportional to 22,982.25, 34,472.25 and 7,187.15

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Solution

The fourth proportional to 22,982.25, 34,472.25 and 7,187.15 is: 10,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.25 : 34,472.25 = 7,187.15 : x
  2. Step 2: Convert to fraction form
    22,982.25/34,472.25 = 7,187.15/x
  3. Step 3: Cross multiply
    22,982.25x = 34,472.25 × 7,187.15
  4. Step 4: Simplify right side
    22,982.25x = 247,757,059.23
  5. Step 5: Solve for x
    x = 247,757,059.23/22,982.25
  6. Step 6: Final answer
    x = 10,780.37

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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.