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Finding the Fourth Proportional to 9,169.50, 13,754.25 and 2,244

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Solution

The fourth proportional to 9,169.50, 13,754.25 and 2,244 is: 3,366

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.50 : 13,754.25 = 2,244 : x
  2. Step 2: Convert to fraction form
    9,169.50/13,754.25 = 2,244/x
  3. Step 3: Cross multiply
    9,169.50x = 13,754.25 × 2,244
  4. Step 4: Simplify right side
    9,169.50x = 30,864,537
  5. Step 5: Solve for x
    x = 30,864,537/9,169.50
  6. Step 6: Final answer
    x = 3,366

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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.