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Finding the Fourth Proportional to 8,464.02, 12,691.50 and 4,301.46

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Solution

The fourth proportional to 8,464.02, 12,691.50 and 4,301.46 is: 6,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.02 : 12,691.50 = 4,301.46 : x
  2. Step 2: Convert to fraction form
    8,464.02/12,691.50 = 4,301.46/x
  3. Step 3: Cross multiply
    8,464.02x = 12,691.50 × 4,301.46
  4. Step 4: Simplify right side
    8,464.02x = 54,591,979.59
  5. Step 5: Solve for x
    x = 54,591,979.59/8,464.02
  6. Step 6: Final answer
    x = 6,449.89

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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.