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Finding the Fourth Proportional to 25,697.67, 38,523.09 and 9,892.59

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Solution

The fourth proportional to 25,697.67, 38,523.09 and 9,892.59 is: 14,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.67 : 38,523.09 = 9,892.59 : x
  2. Step 2: Convert to fraction form
    25,697.67/38,523.09 = 9,892.59/x
  3. Step 3: Cross multiply
    25,697.67x = 38,523.09 × 9,892.59
  4. Step 4: Simplify right side
    25,697.67x = 381,093,134.90
  5. Step 5: Solve for x
    x = 381,093,134.90/25,697.67
  6. Step 6: Final answer
    x = 14,829.87

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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.