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Finding the Fourth Proportional to 6,606.88, 9,904.56 and 2,500

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Solution

The fourth proportional to 6,606.88, 9,904.56 and 2,500 is: 3,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,606.88 : 9,904.56 = 2,500 : x
  2. Step 2: Convert to fraction form
    6,606.88/9,904.56 = 2,500/x
  3. Step 3: Cross multiply
    6,606.88x = 9,904.56 × 2,500
  4. Step 4: Simplify right side
    6,606.88x = 24,761,400
  5. Step 5: Solve for x
    x = 24,761,400/6,606.88
  6. Step 6: Final answer
    x = 3,747.82

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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.