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Finding the Fourth Proportional to 27,884.97, 41,821.31 and 8,165.07

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Solution

The fourth proportional to 27,884.97, 41,821.31 and 8,165.07 is: 12,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.97 : 41,821.31 = 8,165.07 : x
  2. Step 2: Convert to fraction form
    27,884.97/41,821.31 = 8,165.07/x
  3. Step 3: Cross multiply
    27,884.97x = 41,821.31 × 8,165.07
  4. Step 4: Simplify right side
    27,884.97x = 341,473,715.95
  5. Step 5: Solve for x
    x = 341,473,715.95/27,884.97
  6. Step 6: Final answer
    x = 12,245.80

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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.