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Finding the Fourth Proportional to 25,745.42, 38,614.88 and 8,213.78

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Solution

The fourth proportional to 25,745.42, 38,614.88 and 8,213.78 is: 12,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,745.42 : 38,614.88 = 8,213.78 : x
  2. Step 2: Convert to fraction form
    25,745.42/38,614.88 = 8,213.78/x
  3. Step 3: Cross multiply
    25,745.42x = 38,614.88 × 8,213.78
  4. Step 4: Simplify right side
    25,745.42x = 317,174,129.05
  5. Step 5: Solve for x
    x = 317,174,129.05/25,745.42
  6. Step 6: Final answer
    x = 12,319.63

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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.