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Finding the Fourth Proportional to 25,825.98, 38,738.46 and 7,105.98

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Solution

The fourth proportional to 25,825.98, 38,738.46 and 7,105.98 is: 10,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.98 : 38,738.46 = 7,105.98 : x
  2. Step 2: Convert to fraction form
    25,825.98/38,738.46 = 7,105.98/x
  3. Step 3: Cross multiply
    25,825.98x = 38,738.46 × 7,105.98
  4. Step 4: Simplify right side
    25,825.98x = 275,274,721.99
  5. Step 5: Solve for x
    x = 275,274,721.99/25,825.98
  6. Step 6: Final answer
    x = 10,658.83

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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.