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Finding the Fourth Proportional to 6,562.64, 9,843.22 and 2,344.98

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Solution

The fourth proportional to 6,562.64, 9,843.22 and 2,344.98 is: 3,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.64 : 9,843.22 = 2,344.98 : x
  2. Step 2: Convert to fraction form
    6,562.64/9,843.22 = 2,344.98/x
  3. Step 3: Cross multiply
    6,562.64x = 9,843.22 × 2,344.98
  4. Step 4: Simplify right side
    6,562.64x = 23,082,178.64
  5. Step 5: Solve for x
    x = 23,082,178.64/6,562.64
  6. Step 6: Final answer
    x = 3,517.21

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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.