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Finding the Fourth Proportional to 6,498.39, 9,744.09 and 2,055.24

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Solution

The fourth proportional to 6,498.39, 9,744.09 and 2,055.24 is: 3,081.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.39 : 9,744.09 = 2,055.24 : x
  2. Step 2: Convert to fraction form
    6,498.39/9,744.09 = 2,055.24/x
  3. Step 3: Cross multiply
    6,498.39x = 9,744.09 × 2,055.24
  4. Step 4: Simplify right side
    6,498.39x = 20,026,443.53
  5. Step 5: Solve for x
    x = 20,026,443.53/6,498.39
  6. Step 6: Final answer
    x = 3,081.75

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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.