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Finding the Fourth Proportional to 27,934.54, 41,896.10 and 8,207.80

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Solution

The fourth proportional to 27,934.54, 41,896.10 and 8,207.80 is: 12,310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934.54 : 41,896.10 = 8,207.80 : x
  2. Step 2: Convert to fraction form
    27,934.54/41,896.10 = 8,207.80/x
  3. Step 3: Cross multiply
    27,934.54x = 41,896.10 × 8,207.80
  4. Step 4: Simplify right side
    27,934.54x = 343,874,768.54
  5. Step 5: Solve for x
    x = 343,874,768.54/27,934.54
  6. Step 6: Final answer
    x = 12,310.02

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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.