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Finding the Fourth Proportional to 6,532.97, 9,797.39 and 2,149.41

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Solution

The fourth proportional to 6,532.97, 9,797.39 and 2,149.41 is: 3,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.97 : 9,797.39 = 2,149.41 : x
  2. Step 2: Convert to fraction form
    6,532.97/9,797.39 = 2,149.41/x
  3. Step 3: Cross multiply
    6,532.97x = 9,797.39 × 2,149.41
  4. Step 4: Simplify right side
    6,532.97x = 21,058,597.29
  5. Step 5: Solve for x
    x = 21,058,597.29/6,532.97
  6. Step 6: Final answer
    x = 3,223.43

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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.