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Finding the Fourth Proportional to 8,033.97, 12,041.24 and 3,407.25

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Solution

The fourth proportional to 8,033.97, 12,041.24 and 3,407.25 is: 5,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.97 : 12,041.24 = 3,407.25 : x
  2. Step 2: Convert to fraction form
    8,033.97/12,041.24 = 3,407.25/x
  3. Step 3: Cross multiply
    8,033.97x = 12,041.24 × 3,407.25
  4. Step 4: Simplify right side
    8,033.97x = 41,027,497.95
  5. Step 5: Solve for x
    x = 41,027,497.95/8,033.97
  6. Step 6: Final answer
    x = 5,106.75

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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.