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Finding the Fourth Proportional to 27,003.71, 40,493.01 and 8,278.94

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Solution

The fourth proportional to 27,003.71, 40,493.01 and 8,278.94 is: 12,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,003.71 : 40,493.01 = 8,278.94 : x
  2. Step 2: Convert to fraction form
    27,003.71/40,493.01 = 8,278.94/x
  3. Step 3: Cross multiply
    27,003.71x = 40,493.01 × 8,278.94
  4. Step 4: Simplify right side
    27,003.71x = 335,239,200.21
  5. Step 5: Solve for x
    x = 335,239,200.21/27,003.71
  6. Step 6: Final answer
    x = 12,414.56

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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.