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Finding the Fourth Proportional to 8,033.50, 12,049.44 and 3,649.78

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Solution

The fourth proportional to 8,033.50, 12,049.44 and 3,649.78 is: 5,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.50 : 12,049.44 = 3,649.78 : x
  2. Step 2: Convert to fraction form
    8,033.50/12,049.44 = 3,649.78/x
  3. Step 3: Cross multiply
    8,033.50x = 12,049.44 × 3,649.78
  4. Step 4: Simplify right side
    8,033.50x = 43,977,805.12
  5. Step 5: Solve for x
    x = 43,977,805.12/8,033.50
  6. Step 6: Final answer
    x = 5,474.30

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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.