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Finding the Fourth Proportional to 6,493.50, 9,732 and 4,152.60

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Solution

The fourth proportional to 6,493.50, 9,732 and 4,152.60 is: 6,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.50 : 9,732 = 4,152.60 : x
  2. Step 2: Convert to fraction form
    6,493.50/9,732 = 4,152.60/x
  3. Step 3: Cross multiply
    6,493.50x = 9,732 × 4,152.60
  4. Step 4: Simplify right side
    6,493.50x = 40,413,103.20
  5. Step 5: Solve for x
    x = 40,413,103.20/6,493.50
  6. Step 6: Final answer
    x = 6,223.62

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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.