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Finding the Fourth Proportional to 27,512.76, 41,256.72 and 7,786.62

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Solution

The fourth proportional to 27,512.76, 41,256.72 and 7,786.62 is: 11,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,512.76 : 41,256.72 = 7,786.62 : x
  2. Step 2: Convert to fraction form
    27,512.76/41,256.72 = 7,786.62/x
  3. Step 3: Cross multiply
    27,512.76x = 41,256.72 × 7,786.62
  4. Step 4: Simplify right side
    27,512.76x = 321,250,401.09
  5. Step 5: Solve for x
    x = 321,250,401.09/27,512.76
  6. Step 6: Final answer
    x = 11,676.41

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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.