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Finding the Fourth Proportional to 8,697.34, 13,046.10 and 3,502

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Solution

The fourth proportional to 8,697.34, 13,046.10 and 3,502 is: 5,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.34 : 13,046.10 = 3,502 : x
  2. Step 2: Convert to fraction form
    8,697.34/13,046.10 = 3,502/x
  3. Step 3: Cross multiply
    8,697.34x = 13,046.10 × 3,502
  4. Step 4: Simplify right side
    8,697.34x = 45,687,442.20
  5. Step 5: Solve for x
    x = 45,687,442.20/8,697.34
  6. Step 6: Final answer
    x = 5,253.04

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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.