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Finding the Fourth Proportional to 6,481.18, 9,724.52 and 3,194.29

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Solution

The fourth proportional to 6,481.18, 9,724.52 and 3,194.29 is: 4,792.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.18 : 9,724.52 = 3,194.29 : x
  2. Step 2: Convert to fraction form
    6,481.18/9,724.52 = 3,194.29/x
  3. Step 3: Cross multiply
    6,481.18x = 9,724.52 × 3,194.29
  4. Step 4: Simplify right side
    6,481.18x = 31,062,936.99
  5. Step 5: Solve for x
    x = 31,062,936.99/6,481.18
  6. Step 6: Final answer
    x = 4,792.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.