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Finding the Fourth Proportional to 6,581.60, 9,871.65 and 2,634.56

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Solution

The fourth proportional to 6,581.60, 9,871.65 and 2,634.56 is: 3,951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.60 : 9,871.65 = 2,634.56 : x
  2. Step 2: Convert to fraction form
    6,581.60/9,871.65 = 2,634.56/x
  3. Step 3: Cross multiply
    6,581.60x = 9,871.65 × 2,634.56
  4. Step 4: Simplify right side
    6,581.60x = 26,007,454.22
  5. Step 5: Solve for x
    x = 26,007,454.22/6,581.60
  6. Step 6: Final answer
    x = 3,951.54

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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.