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Finding the Fourth Proportional to 6,611.73, 9,125.79 and 4,490.80

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Solution

The fourth proportional to 6,611.73, 9,125.79 and 4,490.80 is: 6,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.73 : 9,125.79 = 4,490.80 : x
  2. Step 2: Convert to fraction form
    6,611.73/9,125.79 = 4,490.80/x
  3. Step 3: Cross multiply
    6,611.73x = 9,125.79 × 4,490.80
  4. Step 4: Simplify right side
    6,611.73x = 40,982,097.73
  5. Step 5: Solve for x
    x = 40,982,097.73/6,611.73
  6. Step 6: Final answer
    x = 6,198.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.