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Finding the Fourth Proportional to 25,738.68, 38,614.68 and 7,270.68

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Solution

The fourth proportional to 25,738.68, 38,614.68 and 7,270.68 is: 10,907.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,738.68 : 38,614.68 = 7,270.68 : x
  2. Step 2: Convert to fraction form
    25,738.68/38,614.68 = 7,270.68/x
  3. Step 3: Cross multiply
    25,738.68x = 38,614.68 × 7,270.68
  4. Step 4: Simplify right side
    25,738.68x = 280,754,981.58
  5. Step 5: Solve for x
    x = 280,754,981.58/25,738.68
  6. Step 6: Final answer
    x = 10,907.90

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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.