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Finding the Fourth Proportional to 6,238.56, 9,360 and 4,166.88

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Solution

The fourth proportional to 6,238.56, 9,360 and 4,166.88 is: 6,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.56 : 9,360 = 4,166.88 : x
  2. Step 2: Convert to fraction form
    6,238.56/9,360 = 4,166.88/x
  3. Step 3: Cross multiply
    6,238.56x = 9,360 × 4,166.88
  4. Step 4: Simplify right side
    6,238.56x = 39,001,996.80
  5. Step 5: Solve for x
    x = 39,001,996.80/6,238.56
  6. Step 6: Final answer
    x = 6,251.76

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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.