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Finding the Fourth Proportional to 25,968.50, 38,961.82 and 8,201.92

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Solution

The fourth proportional to 25,968.50, 38,961.82 and 8,201.92 is: 12,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,968.50 : 38,961.82 = 8,201.92 : x
  2. Step 2: Convert to fraction form
    25,968.50/38,961.82 = 8,201.92/x
  3. Step 3: Cross multiply
    25,968.50x = 38,961.82 × 8,201.92
  4. Step 4: Simplify right side
    25,968.50x = 319,561,730.69
  5. Step 5: Solve for x
    x = 319,561,730.69/25,968.50
  6. Step 6: Final answer
    x = 12,305.74

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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.