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Finding the Fourth Proportional to 8,309.75, 12,454.24 and 4,150.92

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Solution

The fourth proportional to 8,309.75, 12,454.24 and 4,150.92 is: 6,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.75 : 12,454.24 = 4,150.92 : x
  2. Step 2: Convert to fraction form
    8,309.75/12,454.24 = 4,150.92/x
  3. Step 3: Cross multiply
    8,309.75x = 12,454.24 × 4,150.92
  4. Step 4: Simplify right side
    8,309.75x = 51,696,564.28
  5. Step 5: Solve for x
    x = 51,696,564.28/8,309.75
  6. Step 6: Final answer
    x = 6,221.19

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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.