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Finding the Fourth Proportional to 8,112.52, 12,169.02 and 5,356.84

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Solution

The fourth proportional to 8,112.52, 12,169.02 and 5,356.84 is: 8,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.52 : 12,169.02 = 5,356.84 : x
  2. Step 2: Convert to fraction form
    8,112.52/12,169.02 = 5,356.84/x
  3. Step 3: Cross multiply
    8,112.52x = 12,169.02 × 5,356.84
  4. Step 4: Simplify right side
    8,112.52x = 65,187,493.10
  5. Step 5: Solve for x
    x = 65,187,493.10/8,112.52
  6. Step 6: Final answer
    x = 8,035.42

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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.