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Finding the Fourth Proportional to 27,998.68, 41,998.02 and 8,010.25

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Solution

The fourth proportional to 27,998.68, 41,998.02 and 8,010.25 is: 12,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998.68 : 41,998.02 = 8,010.25 : x
  2. Step 2: Convert to fraction form
    27,998.68/41,998.02 = 8,010.25/x
  3. Step 3: Cross multiply
    27,998.68x = 41,998.02 × 8,010.25
  4. Step 4: Simplify right side
    27,998.68x = 336,414,700.75
  5. Step 5: Solve for x
    x = 336,414,700.75/27,998.68
  6. Step 6: Final answer
    x = 12,015.38

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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.