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Finding the Fourth Proportional to 8,195.25, 12,292.92 and 2,039.25

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Solution

The fourth proportional to 8,195.25, 12,292.92 and 2,039.25 is: 3,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.25 : 12,292.92 = 2,039.25 : x
  2. Step 2: Convert to fraction form
    8,195.25/12,292.92 = 2,039.25/x
  3. Step 3: Cross multiply
    8,195.25x = 12,292.92 × 2,039.25
  4. Step 4: Simplify right side
    8,195.25x = 25,068,337.11
  5. Step 5: Solve for x
    x = 25,068,337.11/8,195.25
  6. Step 6: Final answer
    x = 3,058.89

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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.