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Finding the Fourth Proportional to 6,498.54, 9,744.57 and 2,114.82

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Solution

The fourth proportional to 6,498.54, 9,744.57 and 2,114.82 is: 3,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.54 : 9,744.57 = 2,114.82 : x
  2. Step 2: Convert to fraction form
    6,498.54/9,744.57 = 2,114.82/x
  3. Step 3: Cross multiply
    6,498.54x = 9,744.57 × 2,114.82
  4. Step 4: Simplify right side
    6,498.54x = 20,608,011.53
  5. Step 5: Solve for x
    x = 20,608,011.53/6,498.54
  6. Step 6: Final answer
    x = 3,171.18

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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.