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Finding the Fourth Proportional to 27,477.22, 41,215.92 and 7,755.88

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Solution

The fourth proportional to 27,477.22, 41,215.92 and 7,755.88 is: 11,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477.22 : 41,215.92 = 7,755.88 : x
  2. Step 2: Convert to fraction form
    27,477.22/41,215.92 = 7,755.88/x
  3. Step 3: Cross multiply
    27,477.22x = 41,215.92 × 7,755.88
  4. Step 4: Simplify right side
    27,477.22x = 319,665,729.61
  5. Step 5: Solve for x
    x = 319,665,729.61/27,477.22
  6. Step 6: Final answer
    x = 11,633.85

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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.