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Finding the Fourth Proportional to 6,816.60, 10,169.46 and 6,179.97

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Solution

The fourth proportional to 6,816.60, 10,169.46 and 6,179.97 is: 9,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.60 : 10,169.46 = 6,179.97 : x
  2. Step 2: Convert to fraction form
    6,816.60/10,169.46 = 6,179.97/x
  3. Step 3: Cross multiply
    6,816.60x = 10,169.46 × 6,179.97
  4. Step 4: Simplify right side
    6,816.60x = 62,846,957.72
  5. Step 5: Solve for x
    x = 62,846,957.72/6,816.60
  6. Step 6: Final answer
    x = 9,219.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.