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Finding the Fourth Proportional to 6,498.25, 9,751.70 and 2,394.25

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Solution

The fourth proportional to 6,498.25, 9,751.70 and 2,394.25 is: 3,592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.25 : 9,751.70 = 2,394.25 : x
  2. Step 2: Convert to fraction form
    6,498.25/9,751.70 = 2,394.25/x
  3. Step 3: Cross multiply
    6,498.25x = 9,751.70 × 2,394.25
  4. Step 4: Simplify right side
    6,498.25x = 23,348,007.73
  5. Step 5: Solve for x
    x = 23,348,007.73/6,498.25
  6. Step 6: Final answer
    x = 3,592.97

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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.