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Finding the Fourth Proportional to 27,683.78, 41,524.21 and 7,961.56

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Solution

The fourth proportional to 27,683.78, 41,524.21 and 7,961.56 is: 11,941.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.78 : 41,524.21 = 7,961.56 : x
  2. Step 2: Convert to fraction form
    27,683.78/41,524.21 = 7,961.56/x
  3. Step 3: Cross multiply
    27,683.78x = 41,524.21 × 7,961.56
  4. Step 4: Simplify right side
    27,683.78x = 330,597,395.51
  5. Step 5: Solve for x
    x = 330,597,395.51/27,683.78
  6. Step 6: Final answer
    x = 11,941.92

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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.