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Finding the Fourth Proportional to 6,563.26, 9,842.49 and 2,401.90

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Solution

The fourth proportional to 6,563.26, 9,842.49 and 2,401.90 is: 3,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.26 : 9,842.49 = 2,401.90 : x
  2. Step 2: Convert to fraction form
    6,563.26/9,842.49 = 2,401.90/x
  3. Step 3: Cross multiply
    6,563.26x = 9,842.49 × 2,401.90
  4. Step 4: Simplify right side
    6,563.26x = 23,640,676.73
  5. Step 5: Solve for x
    x = 23,640,676.73/6,563.26
  6. Step 6: Final answer
    x = 3,601.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.