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Finding the Fourth Proportional to 10,804.82, 16,209.78 and 4,229.24

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Solution

The fourth proportional to 10,804.82, 16,209.78 and 4,229.24 is: 6,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.82 : 16,209.78 = 4,229.24 : x
  2. Step 2: Convert to fraction form
    10,804.82/16,209.78 = 4,229.24/x
  3. Step 3: Cross multiply
    10,804.82x = 16,209.78 × 4,229.24
  4. Step 4: Simplify right side
    10,804.82x = 68,555,049.97
  5. Step 5: Solve for x
    x = 68,555,049.97/10,804.82
  6. Step 6: Final answer
    x = 6,344.86

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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.