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Finding the Fourth Proportional to 6,706.56, 9,255.08 and 3,722.43

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Solution

The fourth proportional to 6,706.56, 9,255.08 and 3,722.43 is: 5,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.56 : 9,255.08 = 3,722.43 : x
  2. Step 2: Convert to fraction form
    6,706.56/9,255.08 = 3,722.43/x
  3. Step 3: Cross multiply
    6,706.56x = 9,255.08 × 3,722.43
  4. Step 4: Simplify right side
    6,706.56x = 34,451,387.44
  5. Step 5: Solve for x
    x = 34,451,387.44/6,706.56
  6. Step 6: Final answer
    x = 5,136.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.