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Finding the Fourth Proportional to 25,769.72, 38,659.44 and 8,234.84

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Solution

The fourth proportional to 25,769.72, 38,659.44 and 8,234.84 is: 12,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,769.72 : 38,659.44 = 8,234.84 : x
  2. Step 2: Convert to fraction form
    25,769.72/38,659.44 = 8,234.84/x
  3. Step 3: Cross multiply
    25,769.72x = 38,659.44 × 8,234.84
  4. Step 4: Simplify right side
    25,769.72x = 318,354,302.89
  5. Step 5: Solve for x
    x = 318,354,302.89/25,769.72
  6. Step 6: Final answer
    x = 12,353.81

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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.