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Finding the Fourth Proportional to 6,562.42, 9,839.97 and 2,177.50

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Solution

The fourth proportional to 6,562.42, 9,839.97 and 2,177.50 is: 3,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.42 : 9,839.97 = 2,177.50 : x
  2. Step 2: Convert to fraction form
    6,562.42/9,839.97 = 2,177.50/x
  3. Step 3: Cross multiply
    6,562.42x = 9,839.97 × 2,177.50
  4. Step 4: Simplify right side
    6,562.42x = 21,426,534.68
  5. Step 5: Solve for x
    x = 21,426,534.68/6,562.42
  6. Step 6: Final answer
    x = 3,265.04

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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.