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Finding the Fourth Proportional to 10,490.39, 15,737.88 and 4,568.22

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Solution

The fourth proportional to 10,490.39, 15,737.88 and 4,568.22 is: 6,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.39 : 15,737.88 = 4,568.22 : x
  2. Step 2: Convert to fraction form
    10,490.39/15,737.88 = 4,568.22/x
  3. Step 3: Cross multiply
    10,490.39x = 15,737.88 × 4,568.22
  4. Step 4: Simplify right side
    10,490.39x = 71,894,098.17
  5. Step 5: Solve for x
    x = 71,894,098.17/10,490.39
  6. Step 6: Final answer
    x = 6,853.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.