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Finding the Fourth Proportional to 8,144.28, 12,221.28 and 2,949.48

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Solution

The fourth proportional to 8,144.28, 12,221.28 and 2,949.48 is: 4,425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.28 : 12,221.28 = 2,949.48 : x
  2. Step 2: Convert to fraction form
    8,144.28/12,221.28 = 2,949.48/x
  3. Step 3: Cross multiply
    8,144.28x = 12,221.28 × 2,949.48
  4. Step 4: Simplify right side
    8,144.28x = 36,046,420.93
  5. Step 5: Solve for x
    x = 36,046,420.93/8,144.28
  6. Step 6: Final answer
    x = 4,425.98

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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.