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Finding the Fourth Proportional to 27,961.88, 41,950.02 and 8,239.64

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Solution

The fourth proportional to 27,961.88, 41,950.02 and 8,239.64 is: 12,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,961.88 : 41,950.02 = 8,239.64 : x
  2. Step 2: Convert to fraction form
    27,961.88/41,950.02 = 8,239.64/x
  3. Step 3: Cross multiply
    27,961.88x = 41,950.02 × 8,239.64
  4. Step 4: Simplify right side
    27,961.88x = 345,653,062.79
  5. Step 5: Solve for x
    x = 345,653,062.79/27,961.88
  6. Step 6: Final answer
    x = 12,361.58

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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.