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Finding the Fourth Proportional to 8,072.88, 12,109.44 and 2,229.96

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Solution

The fourth proportional to 8,072.88, 12,109.44 and 2,229.96 is: 3,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.88 : 12,109.44 = 2,229.96 : x
  2. Step 2: Convert to fraction form
    8,072.88/12,109.44 = 2,229.96/x
  3. Step 3: Cross multiply
    8,072.88x = 12,109.44 × 2,229.96
  4. Step 4: Simplify right side
    8,072.88x = 27,003,566.82
  5. Step 5: Solve for x
    x = 27,003,566.82/8,072.88
  6. Step 6: Final answer
    x = 3,344.97

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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.