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Finding the Fourth Proportional to 25,877.61, 38,817.99 and 8,111.61

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Solution

The fourth proportional to 25,877.61, 38,817.99 and 8,111.61 is: 12,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,877.61 : 38,817.99 = 8,111.61 : x
  2. Step 2: Convert to fraction form
    25,877.61/38,817.99 = 8,111.61/x
  3. Step 3: Cross multiply
    25,877.61x = 38,817.99 × 8,111.61
  4. Step 4: Simplify right side
    25,877.61x = 314,876,395.86
  5. Step 5: Solve for x
    x = 314,876,395.86/25,877.61
  6. Step 6: Final answer
    x = 12,167.91

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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.