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Finding the Fourth Proportional to 6,487.35, 9,729.46 and 3,155.55

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Solution

The fourth proportional to 6,487.35, 9,729.46 and 3,155.55 is: 4,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.35 : 9,729.46 = 3,155.55 : x
  2. Step 2: Convert to fraction form
    6,487.35/9,729.46 = 3,155.55/x
  3. Step 3: Cross multiply
    6,487.35x = 9,729.46 × 3,155.55
  4. Step 4: Simplify right side
    6,487.35x = 30,701,797.50
  5. Step 5: Solve for x
    x = 30,701,797.50/6,487.35
  6. Step 6: Final answer
    x = 4,732.56

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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.