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Finding the Fourth Proportional to 8,194.52, 12,293.82 and 3,512.22

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Solution

The fourth proportional to 8,194.52, 12,293.82 and 3,512.22 is: 5,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.52 : 12,293.82 = 3,512.22 : x
  2. Step 2: Convert to fraction form
    8,194.52/12,293.82 = 3,512.22/x
  3. Step 3: Cross multiply
    8,194.52x = 12,293.82 × 3,512.22
  4. Step 4: Simplify right side
    8,194.52x = 43,178,600.48
  5. Step 5: Solve for x
    x = 43,178,600.48/8,194.52
  6. Step 6: Final answer
    x = 5,269.20

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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.