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Finding the Fourth Proportional to 25,738.83, 38,609.22 and 7,019.48

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Solution

The fourth proportional to 25,738.83, 38,609.22 and 7,019.48 is: 10,529.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,738.83 : 38,609.22 = 7,019.48 : x
  2. Step 2: Convert to fraction form
    25,738.83/38,609.22 = 7,019.48/x
  3. Step 3: Cross multiply
    25,738.83x = 38,609.22 × 7,019.48
  4. Step 4: Simplify right side
    25,738.83x = 271,016,454.56
  5. Step 5: Solve for x
    x = 271,016,454.56/25,738.83
  6. Step 6: Final answer
    x = 10,529.48

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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.