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Finding the Fourth Proportional to 6,591.66, 9,887.24 and 1,661.24

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Solution

The fourth proportional to 6,591.66, 9,887.24 and 1,661.24 is: 2,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.66 : 9,887.24 = 1,661.24 : x
  2. Step 2: Convert to fraction form
    6,591.66/9,887.24 = 1,661.24/x
  3. Step 3: Cross multiply
    6,591.66x = 9,887.24 × 1,661.24
  4. Step 4: Simplify right side
    6,591.66x = 16,425,020.84
  5. Step 5: Solve for x
    x = 16,425,020.84/6,591.66
  6. Step 6: Final answer
    x = 2,491.79

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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.