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Finding the Fourth Proportional to 27,407.63, 41,086.78 and 9,865.13

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Solution

The fourth proportional to 27,407.63, 41,086.78 and 9,865.13 is: 14,788.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.63 : 41,086.78 = 9,865.13 : x
  2. Step 2: Convert to fraction form
    27,407.63/41,086.78 = 9,865.13/x
  3. Step 3: Cross multiply
    27,407.63x = 41,086.78 × 9,865.13
  4. Step 4: Simplify right side
    27,407.63x = 405,326,195.88
  5. Step 5: Solve for x
    x = 405,326,195.88/27,407.63
  6. Step 6: Final answer
    x = 14,788.81

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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.