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Finding the Fourth Proportional to 12,872.52, 17,763.84 and 7,207.27

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Solution

The fourth proportional to 12,872.52, 17,763.84 and 7,207.27 is: 9,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.52 : 17,763.84 = 7,207.27 : x
  2. Step 2: Convert to fraction form
    12,872.52/17,763.84 = 7,207.27/x
  3. Step 3: Cross multiply
    12,872.52x = 17,763.84 × 7,207.27
  4. Step 4: Simplify right side
    12,872.52x = 128,028,791.12
  5. Step 5: Solve for x
    x = 128,028,791.12/12,872.52
  6. Step 6: Final answer
    x = 9,945.90

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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.