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Finding the Fourth Proportional to 27,894.54, 41,832.91 and 9,170.24

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Solution

The fourth proportional to 27,894.54, 41,832.91 and 9,170.24 is: 13,752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.54 : 41,832.91 = 9,170.24 : x
  2. Step 2: Convert to fraction form
    27,894.54/41,832.91 = 9,170.24/x
  3. Step 3: Cross multiply
    27,894.54x = 41,832.91 × 9,170.24
  4. Step 4: Simplify right side
    27,894.54x = 383,617,824.60
  5. Step 5: Solve for x
    x = 383,617,824.60/27,894.54
  6. Step 6: Final answer
    x = 13,752.43

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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.