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Finding the Fourth Proportional to 27,941.86, 41,911.53 and 8,221.06

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Solution

The fourth proportional to 27,941.86, 41,911.53 and 8,221.06 is: 12,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,941.86 : 41,911.53 = 8,221.06 : x
  2. Step 2: Convert to fraction form
    27,941.86/41,911.53 = 8,221.06/x
  3. Step 3: Cross multiply
    27,941.86x = 41,911.53 × 8,221.06
  4. Step 4: Simplify right side
    27,941.86x = 344,557,202.82
  5. Step 5: Solve for x
    x = 344,557,202.82/27,941.86
  6. Step 6: Final answer
    x = 12,331.22

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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.