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Finding the Fourth Proportional to 6,728.62, 9,285.18 and 3,744.43

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Solution

The fourth proportional to 6,728.62, 9,285.18 and 3,744.43 is: 5,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.62 : 9,285.18 = 3,744.43 : x
  2. Step 2: Convert to fraction form
    6,728.62/9,285.18 = 3,744.43/x
  3. Step 3: Cross multiply
    6,728.62x = 9,285.18 × 3,744.43
  4. Step 4: Simplify right side
    6,728.62x = 34,767,706.55
  5. Step 5: Solve for x
    x = 34,767,706.55/6,728.62
  6. Step 6: Final answer
    x = 5,167.14

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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.