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Finding the Fourth Proportional to 6,908.64, 10,361.52 and 2,229.09

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Solution

The fourth proportional to 6,908.64, 10,361.52 and 2,229.09 is: 3,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.64 : 10,361.52 = 2,229.09 : x
  2. Step 2: Convert to fraction form
    6,908.64/10,361.52 = 2,229.09/x
  3. Step 3: Cross multiply
    6,908.64x = 10,361.52 × 2,229.09
  4. Step 4: Simplify right side
    6,908.64x = 23,096,760.62
  5. Step 5: Solve for x
    x = 23,096,760.62/6,908.64
  6. Step 6: Final answer
    x = 3,343.17

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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.