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Finding the Fourth Proportional to 6,371.64, 9,562.72 and 3,253.94

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Solution

The fourth proportional to 6,371.64, 9,562.72 and 3,253.94 is: 4,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.64 : 9,562.72 = 3,253.94 : x
  2. Step 2: Convert to fraction form
    6,371.64/9,562.72 = 3,253.94/x
  3. Step 3: Cross multiply
    6,371.64x = 9,562.72 × 3,253.94
  4. Step 4: Simplify right side
    6,371.64x = 31,116,517.12
  5. Step 5: Solve for x
    x = 31,116,517.12/6,371.64
  6. Step 6: Final answer
    x = 4,883.60

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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.