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Finding the Fourth Proportional to 10,706.22, 16,036.92 and 6,791.22

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Solution

The fourth proportional to 10,706.22, 16,036.92 and 6,791.22 is: 10,172.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.22 : 16,036.92 = 6,791.22 : x
  2. Step 2: Convert to fraction form
    10,706.22/16,036.92 = 6,791.22/x
  3. Step 3: Cross multiply
    10,706.22x = 16,036.92 × 6,791.22
  4. Step 4: Simplify right side
    10,706.22x = 108,910,251.84
  5. Step 5: Solve for x
    x = 108,910,251.84/10,706.22
  6. Step 6: Final answer
    x = 10,172.61

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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.