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Finding the Fourth Proportional to 9,414.92, 12,992.05 and 5,165.14

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Solution

The fourth proportional to 9,414.92, 12,992.05 and 5,165.14 is: 7,127.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.92 : 12,992.05 = 5,165.14 : x
  2. Step 2: Convert to fraction form
    9,414.92/12,992.05 = 5,165.14/x
  3. Step 3: Cross multiply
    9,414.92x = 12,992.05 × 5,165.14
  4. Step 4: Simplify right side
    9,414.92x = 67,105,757.14
  5. Step 5: Solve for x
    x = 67,105,757.14/9,414.92
  6. Step 6: Final answer
    x = 7,127.60

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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.