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Finding the Fourth Proportional to 12,163.80, 18,231.30 and 6,317.40

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Solution

The fourth proportional to 12,163.80, 18,231.30 and 6,317.40 is: 9,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.80 : 18,231.30 = 6,317.40 : x
  2. Step 2: Convert to fraction form
    12,163.80/18,231.30 = 6,317.40/x
  3. Step 3: Cross multiply
    12,163.80x = 18,231.30 × 6,317.40
  4. Step 4: Simplify right side
    12,163.80x = 115,174,414.62
  5. Step 5: Solve for x
    x = 115,174,414.62/12,163.80
  6. Step 6: Final answer
    x = 9,468.62

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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.