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Finding the Fourth Proportional to 6,498, 9,751.32 and 2,394

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Solution

The fourth proportional to 6,498, 9,751.32 and 2,394 is: 3,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498 : 9,751.32 = 2,394 : x
  2. Step 2: Convert to fraction form
    6,498/9,751.32 = 2,394/x
  3. Step 3: Cross multiply
    6,498x = 9,751.32 × 2,394
  4. Step 4: Simplify right side
    6,498x = 23,344,660.08
  5. Step 5: Solve for x
    x = 23,344,660.08/6,498
  6. Step 6: Final answer
    x = 3,592.59

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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.