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Finding the Fourth Proportional to 6,611.49, 9,914.47 and 2,229.32

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Solution

The fourth proportional to 6,611.49, 9,914.47 and 2,229.32 is: 3,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.49 : 9,914.47 = 2,229.32 : x
  2. Step 2: Convert to fraction form
    6,611.49/9,914.47 = 2,229.32/x
  3. Step 3: Cross multiply
    6,611.49x = 9,914.47 × 2,229.32
  4. Step 4: Simplify right side
    6,611.49x = 22,102,545.47
  5. Step 5: Solve for x
    x = 22,102,545.47/6,611.49
  6. Step 6: Final answer
    x = 3,343.05

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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.