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Finding the Fourth Proportional to 6,458.70, 9,691.25 and 2,563.02

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Solution

The fourth proportional to 6,458.70, 9,691.25 and 2,563.02 is: 3,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.70 : 9,691.25 = 2,563.02 : x
  2. Step 2: Convert to fraction form
    6,458.70/9,691.25 = 2,563.02/x
  3. Step 3: Cross multiply
    6,458.70x = 9,691.25 × 2,563.02
  4. Step 4: Simplify right side
    6,458.70x = 24,838,867.58
  5. Step 5: Solve for x
    x = 24,838,867.58/6,458.70
  6. Step 6: Final answer
    x = 3,845.80

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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.