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Finding the Fourth Proportional to 8,122.92, 12,161.91 and 4,165.65

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Solution

The fourth proportional to 8,122.92, 12,161.91 and 4,165.65 is: 6,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.92 : 12,161.91 = 4,165.65 : x
  2. Step 2: Convert to fraction form
    8,122.92/12,161.91 = 4,165.65/x
  3. Step 3: Cross multiply
    8,122.92x = 12,161.91 × 4,165.65
  4. Step 4: Simplify right side
    8,122.92x = 50,662,260.39
  5. Step 5: Solve for x
    x = 50,662,260.39/8,122.92
  6. Step 6: Final answer
    x = 6,236.95

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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.