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Finding the Fourth Proportional to 6,432.74, 9,650.82 and 2,735.18

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Solution

The fourth proportional to 6,432.74, 9,650.82 and 2,735.18 is: 4,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.74 : 9,650.82 = 2,735.18 : x
  2. Step 2: Convert to fraction form
    6,432.74/9,650.82 = 2,735.18/x
  3. Step 3: Cross multiply
    6,432.74x = 9,650.82 × 2,735.18
  4. Step 4: Simplify right side
    6,432.74x = 26,396,729.85
  5. Step 5: Solve for x
    x = 26,396,729.85/6,432.74
  6. Step 6: Final answer
    x = 4,103.50

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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.