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Finding the Fourth Proportional to 12,198.33, 18,244.74 and 7,188.82

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Solution

The fourth proportional to 12,198.33, 18,244.74 and 7,188.82 is: 10,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.33 : 18,244.74 = 7,188.82 : x
  2. Step 2: Convert to fraction form
    12,198.33/18,244.74 = 7,188.82/x
  3. Step 3: Cross multiply
    12,198.33x = 18,244.74 × 7,188.82
  4. Step 4: Simplify right side
    12,198.33x = 131,158,133.15
  5. Step 5: Solve for x
    x = 131,158,133.15/12,198.33
  6. Step 6: Final answer
    x = 10,752.14

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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.