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Finding the Fourth Proportional to 8,498.28, 12,757.14 and 8,012.28

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Solution

The fourth proportional to 8,498.28, 12,757.14 and 8,012.28 is: 12,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.28 : 12,757.14 = 8,012.28 : x
  2. Step 2: Convert to fraction form
    8,498.28/12,757.14 = 8,012.28/x
  3. Step 3: Cross multiply
    8,498.28x = 12,757.14 × 8,012.28
  4. Step 4: Simplify right side
    8,498.28x = 102,213,777.68
  5. Step 5: Solve for x
    x = 102,213,777.68/8,498.28
  6. Step 6: Final answer
    x = 12,027.58

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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.