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Finding the Fourth Proportional to 6,772.20, 9,344.22 and 3,976.20

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Solution

The fourth proportional to 6,772.20, 9,344.22 and 3,976.20 is: 5,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.20 : 9,344.22 = 3,976.20 : x
  2. Step 2: Convert to fraction form
    6,772.20/9,344.22 = 3,976.20/x
  3. Step 3: Cross multiply
    6,772.20x = 9,344.22 × 3,976.20
  4. Step 4: Simplify right side
    6,772.20x = 37,154,487.56
  5. Step 5: Solve for x
    x = 37,154,487.56/6,772.20
  6. Step 6: Final answer
    x = 5,486.32

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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.