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Finding the Fourth Proportional to 25,825.44, 38,734.11 and 7,106.88

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Solution

The fourth proportional to 25,825.44, 38,734.11 and 7,106.88 is: 10,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.44 : 38,734.11 = 7,106.88 : x
  2. Step 2: Convert to fraction form
    25,825.44/38,734.11 = 7,106.88/x
  3. Step 3: Cross multiply
    25,825.44x = 38,734.11 × 7,106.88
  4. Step 4: Simplify right side
    25,825.44x = 275,278,671.68
  5. Step 5: Solve for x
    x = 275,278,671.68/25,825.44
  6. Step 6: Final answer
    x = 10,659.21

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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.