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Finding the Fourth Proportional to 27,881.94, 41,820.86 and 9,161.76

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Solution

The fourth proportional to 27,881.94, 41,820.86 and 9,161.76 is: 13,741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.94 : 41,820.86 = 9,161.76 : x
  2. Step 2: Convert to fraction form
    27,881.94/41,820.86 = 9,161.76/x
  3. Step 3: Cross multiply
    27,881.94x = 41,820.86 × 9,161.76
  4. Step 4: Simplify right side
    27,881.94x = 383,152,682.31
  5. Step 5: Solve for x
    x = 383,152,682.31/27,881.94
  6. Step 6: Final answer
    x = 13,741.97

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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.