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Finding the Fourth Proportional to 6,481.24, 9,724.60 and 3,194.37

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Solution

The fourth proportional to 6,481.24, 9,724.60 and 3,194.37 is: 4,792.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.24 : 9,724.60 = 3,194.37 : x
  2. Step 2: Convert to fraction form
    6,481.24/9,724.60 = 3,194.37/x
  3. Step 3: Cross multiply
    6,481.24x = 9,724.60 × 3,194.37
  4. Step 4: Simplify right side
    6,481.24x = 31,063,970.50
  5. Step 5: Solve for x
    x = 31,063,970.50/6,481.24
  6. Step 6: Final answer
    x = 4,792.91

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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.