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Finding the Fourth Proportional to 15,129.11, 20,878.94 and 8,414.86

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Solution

The fourth proportional to 15,129.11, 20,878.94 and 8,414.86 is: 11,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.11 : 20,878.94 = 8,414.86 : x
  2. Step 2: Convert to fraction form
    15,129.11/20,878.94 = 8,414.86/x
  3. Step 3: Cross multiply
    15,129.11x = 20,878.94 × 8,414.86
  4. Step 4: Simplify right side
    15,129.11x = 175,693,262.78
  5. Step 5: Solve for x
    x = 175,693,262.78/15,129.11
  6. Step 6: Final answer
    x = 11,612.93

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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.