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Finding the Fourth Proportional to 6,649.56, 9,974.88 and 3,729.24

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Solution

The fourth proportional to 6,649.56, 9,974.88 and 3,729.24 is: 5,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.56 : 9,974.88 = 3,729.24 : x
  2. Step 2: Convert to fraction form
    6,649.56/9,974.88 = 3,729.24/x
  3. Step 3: Cross multiply
    6,649.56x = 9,974.88 × 3,729.24
  4. Step 4: Simplify right side
    6,649.56x = 37,198,721.49
  5. Step 5: Solve for x
    x = 37,198,721.49/6,649.56
  6. Step 6: Final answer
    x = 5,594.16

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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.