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Finding the Fourth Proportional to 8,697.14, 12,002.10 and 6,704

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Solution

The fourth proportional to 8,697.14, 12,002.10 and 6,704 is: 9,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.14 : 12,002.10 = 6,704 : x
  2. Step 2: Convert to fraction form
    8,697.14/12,002.10 = 6,704/x
  3. Step 3: Cross multiply
    8,697.14x = 12,002.10 × 6,704
  4. Step 4: Simplify right side
    8,697.14x = 80,462,078.40
  5. Step 5: Solve for x
    x = 80,462,078.40/8,697.14
  6. Step 6: Final answer
    x = 9,251.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.