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Finding the Fourth Proportional to 10,337.20, 14,498 and 10,337.20

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Solution

The fourth proportional to 10,337.20, 14,498 and 10,337.20 is: 14,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.20 : 14,498 = 10,337.20 : x
  2. Step 2: Convert to fraction form
    10,337.20/14,498 = 10,337.20/x
  3. Step 3: Cross multiply
    10,337.20x = 14,498 × 10,337.20
  4. Step 4: Simplify right side
    10,337.20x = 149,868,725.60
  5. Step 5: Solve for x
    x = 149,868,725.60/10,337.20
  6. Step 6: Final answer
    x = 14,498.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.