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Finding the Fourth Proportional to 6,932, 10,398 and 1,737.88

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Solution

The fourth proportional to 6,932, 10,398 and 1,737.88 is: 2,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932 : 10,398 = 1,737.88 : x
  2. Step 2: Convert to fraction form
    6,932/10,398 = 1,737.88/x
  3. Step 3: Cross multiply
    6,932x = 10,398 × 1,737.88
  4. Step 4: Simplify right side
    6,932x = 18,070,476.24
  5. Step 5: Solve for x
    x = 18,070,476.24/6,932
  6. Step 6: Final answer
    x = 2,606.82

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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.