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Finding the Fourth Proportional to 10,226.62, 15,340.07 and 6,738.95

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Solution

The fourth proportional to 10,226.62, 15,340.07 and 6,738.95 is: 10,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.62 : 15,340.07 = 6,738.95 : x
  2. Step 2: Convert to fraction form
    10,226.62/15,340.07 = 6,738.95/x
  3. Step 3: Cross multiply
    10,226.62x = 15,340.07 × 6,738.95
  4. Step 4: Simplify right side
    10,226.62x = 103,375,964.73
  5. Step 5: Solve for x
    x = 103,375,964.73/10,226.62
  6. Step 6: Final answer
    x = 10,108.52

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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.