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Finding the Fourth Proportional to 25,994.75, 38,992.11 and 10,207.22

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Solution

The fourth proportional to 25,994.75, 38,992.11 and 10,207.22 is: 15,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,994.75 : 38,992.11 = 10,207.22 : x
  2. Step 2: Convert to fraction form
    25,994.75/38,992.11 = 10,207.22/x
  3. Step 3: Cross multiply
    25,994.75x = 38,992.11 × 10,207.22
  4. Step 4: Simplify right side
    25,994.75x = 398,000,799.04
  5. Step 5: Solve for x
    x = 398,000,799.04/25,994.75
  6. Step 6: Final answer
    x = 15,310.82

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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.