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Finding the Fourth Proportional to 27,714.76, 41,571.92 and 6,938.26

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Solution

The fourth proportional to 27,714.76, 41,571.92 and 6,938.26 is: 10,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.76 : 41,571.92 = 6,938.26 : x
  2. Step 2: Convert to fraction form
    27,714.76/41,571.92 = 6,938.26/x
  3. Step 3: Cross multiply
    27,714.76x = 41,571.92 × 6,938.26
  4. Step 4: Simplify right side
    27,714.76x = 288,436,789.66
  5. Step 5: Solve for x
    x = 288,436,789.66/27,714.76
  6. Step 6: Final answer
    x = 10,407.33

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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.