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Finding the Fourth Proportional to 11,614.57, 16,028.46 and 6,834.88

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Solution

The fourth proportional to 11,614.57, 16,028.46 and 6,834.88 is: 9,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.57 : 16,028.46 = 6,834.88 : x
  2. Step 2: Convert to fraction form
    11,614.57/16,028.46 = 6,834.88/x
  3. Step 3: Cross multiply
    11,614.57x = 16,028.46 × 6,834.88
  4. Step 4: Simplify right side
    11,614.57x = 109,552,600.68
  5. Step 5: Solve for x
    x = 109,552,600.68/11,614.57
  6. Step 6: Final answer
    x = 9,432.34

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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.