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Finding the Fourth Proportional to 17,961.75, 24,786 and 11,244.83

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Solution

The fourth proportional to 17,961.75, 24,786 and 11,244.83 is: 15,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,961.75 : 24,786 = 11,244.83 : x
  2. Step 2: Convert to fraction form
    17,961.75/24,786 = 11,244.83/x
  3. Step 3: Cross multiply
    17,961.75x = 24,786 × 11,244.83
  4. Step 4: Simplify right side
    17,961.75x = 278,714,232.45
  5. Step 5: Solve for x
    x = 278,714,232.45/17,961.75
  6. Step 6: Final answer
    x = 15,517.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.