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Finding the Fourth Proportional to 27,881.85, 41,825.16 and 8,909.22

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Solution

The fourth proportional to 27,881.85, 41,825.16 and 8,909.22 is: 13,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.85 : 41,825.16 = 8,909.22 : x
  2. Step 2: Convert to fraction form
    27,881.85/41,825.16 = 8,909.22/x
  3. Step 3: Cross multiply
    27,881.85x = 41,825.16 × 8,909.22
  4. Step 4: Simplify right side
    27,881.85x = 372,629,355.92
  5. Step 5: Solve for x
    x = 372,629,355.92/27,881.85
  6. Step 6: Final answer
    x = 13,364.59

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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.