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Finding the Fourth Proportional to 6,563.70, 9,847.17 and 2,405.97

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Solution

The fourth proportional to 6,563.70, 9,847.17 and 2,405.97 is: 3,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.70 : 9,847.17 = 2,405.97 : x
  2. Step 2: Convert to fraction form
    6,563.70/9,847.17 = 2,405.97/x
  3. Step 3: Cross multiply
    6,563.70x = 9,847.17 × 2,405.97
  4. Step 4: Simplify right side
    6,563.70x = 23,691,995.60
  5. Step 5: Solve for x
    x = 23,691,995.60/6,563.70
  6. Step 6: Final answer
    x = 3,609.55

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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.