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Finding the Fourth Proportional to 6,819.88, 10,229.82 and 2,203.24

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Solution

The fourth proportional to 6,819.88, 10,229.82 and 2,203.24 is: 3,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.88 : 10,229.82 = 2,203.24 : x
  2. Step 2: Convert to fraction form
    6,819.88/10,229.82 = 2,203.24/x
  3. Step 3: Cross multiply
    6,819.88x = 10,229.82 × 2,203.24
  4. Step 4: Simplify right side
    6,819.88x = 22,538,748.62
  5. Step 5: Solve for x
    x = 22,538,748.62/6,819.88
  6. Step 6: Final answer
    x = 3,304.86

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1.5x scale

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.