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Finding the Fourth Proportional to 9,385.92, 12,952.62 and 5,194.20

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Solution

The fourth proportional to 9,385.92, 12,952.62 and 5,194.20 is: 7,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.92 : 12,952.62 = 5,194.20 : x
  2. Step 2: Convert to fraction form
    9,385.92/12,952.62 = 5,194.20/x
  3. Step 3: Cross multiply
    9,385.92x = 12,952.62 × 5,194.20
  4. Step 4: Simplify right side
    9,385.92x = 67,278,498.80
  5. Step 5: Solve for x
    x = 67,278,498.80/9,385.92
  6. Step 6: Final answer
    x = 7,168.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.