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Finding the Fourth Proportional to 12,305.97, 18,467.10 and 6,763.18

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Solution

The fourth proportional to 12,305.97, 18,467.10 and 6,763.18 is: 10,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.97 : 18,467.10 = 6,763.18 : x
  2. Step 2: Convert to fraction form
    12,305.97/18,467.10 = 6,763.18/x
  3. Step 3: Cross multiply
    12,305.97x = 18,467.10 × 6,763.18
  4. Step 4: Simplify right side
    12,305.97x = 124,896,321.38
  5. Step 5: Solve for x
    x = 124,896,321.38/12,305.97
  6. Step 6: Final answer
    x = 10,149.25

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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.