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Finding the Fourth Proportional to 8,972.07, 12,387.29 and 8,414.43

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Solution

The fourth proportional to 8,972.07, 12,387.29 and 8,414.43 is: 11,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.07 : 12,387.29 = 8,414.43 : x
  2. Step 2: Convert to fraction form
    8,972.07/12,387.29 = 8,414.43/x
  3. Step 3: Cross multiply
    8,972.07x = 12,387.29 × 8,414.43
  4. Step 4: Simplify right side
    8,972.07x = 104,231,942.52
  5. Step 5: Solve for x
    x = 104,231,942.52/8,972.07
  6. Step 6: Final answer
    x = 11,617.38

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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.