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Finding the Fourth Proportional to 16,738, 25,107 and 6,882.64

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Solution

The fourth proportional to 16,738, 25,107 and 6,882.64 is: 10,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738 : 25,107 = 6,882.64 : x
  2. Step 2: Convert to fraction form
    16,738/25,107 = 6,882.64/x
  3. Step 3: Cross multiply
    16,738x = 25,107 × 6,882.64
  4. Step 4: Simplify right side
    16,738x = 172,802,442.48
  5. Step 5: Solve for x
    x = 172,802,442.48/16,738
  6. Step 6: Final answer
    x = 10,323.96

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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.