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Finding the Fourth Proportional to 10,498, 15,737.22 and 4,651.36

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Solution

The fourth proportional to 10,498, 15,737.22 and 4,651.36 is: 6,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498 : 15,737.22 = 4,651.36 : x
  2. Step 2: Convert to fraction form
    10,498/15,737.22 = 4,651.36/x
  3. Step 3: Cross multiply
    10,498x = 15,737.22 × 4,651.36
  4. Step 4: Simplify right side
    10,498x = 73,199,475.62
  5. Step 5: Solve for x
    x = 73,199,475.62/10,498
  6. Step 6: Final answer
    x = 6,972.71

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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.