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Finding the Fourth Proportional to 27,930.96, 41,896.44 and 8,209.53

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Solution

The fourth proportional to 27,930.96, 41,896.44 and 8,209.53 is: 12,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,930.96 : 41,896.44 = 8,209.53 : x
  2. Step 2: Convert to fraction form
    27,930.96/41,896.44 = 8,209.53/x
  3. Step 3: Cross multiply
    27,930.96x = 41,896.44 × 8,209.53
  4. Step 4: Simplify right side
    27,930.96x = 343,950,081.07
  5. Step 5: Solve for x
    x = 343,950,081.07/27,930.96
  6. Step 6: Final answer
    x = 12,314.30

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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.