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Finding the Fourth Proportional to 11,614.64, 16,028.52 and 6,834.88

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Solution

The fourth proportional to 11,614.64, 16,028.52 and 6,834.88 is: 9,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.64 : 16,028.52 = 6,834.88 : x
  2. Step 2: Convert to fraction form
    11,614.64/16,028.52 = 6,834.88/x
  3. Step 3: Cross multiply
    11,614.64x = 16,028.52 × 6,834.88
  4. Step 4: Simplify right side
    11,614.64x = 109,553,010.78
  5. Step 5: Solve for x
    x = 109,553,010.78/11,614.64
  6. Step 6: Final answer
    x = 9,432.32

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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.