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Finding the Fourth Proportional to 11,910.84, 17,843.16 and 9,244.44

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Solution

The fourth proportional to 11,910.84, 17,843.16 and 9,244.44 is: 13,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.84 : 17,843.16 = 9,244.44 : x
  2. Step 2: Convert to fraction form
    11,910.84/17,843.16 = 9,244.44/x
  3. Step 3: Cross multiply
    11,910.84x = 17,843.16 × 9,244.44
  4. Step 4: Simplify right side
    11,910.84x = 164,950,022.03
  5. Step 5: Solve for x
    x = 164,950,022.03/11,910.84
  6. Step 6: Final answer
    x = 13,848.73

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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.