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Finding the Fourth Proportional to 6,712.56, 10,069.80 and 3,248.88

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Solution

The fourth proportional to 6,712.56, 10,069.80 and 3,248.88 is: 4,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.56 : 10,069.80 = 3,248.88 : x
  2. Step 2: Convert to fraction form
    6,712.56/10,069.80 = 3,248.88/x
  3. Step 3: Cross multiply
    6,712.56x = 10,069.80 × 3,248.88
  4. Step 4: Simplify right side
    6,712.56x = 32,715,571.82
  5. Step 5: Solve for x
    x = 32,715,571.82/6,712.56
  6. Step 6: Final answer
    x = 4,873.78

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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.