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Finding the Fourth Proportional to 13,227.68, 18,251.16 and 7,923.44

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Solution

The fourth proportional to 13,227.68, 18,251.16 and 7,923.44 is: 10,932.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.68 : 18,251.16 = 7,923.44 : x
  2. Step 2: Convert to fraction form
    13,227.68/18,251.16 = 7,923.44/x
  3. Step 3: Cross multiply
    13,227.68x = 18,251.16 × 7,923.44
  4. Step 4: Simplify right side
    13,227.68x = 144,611,971.19
  5. Step 5: Solve for x
    x = 144,611,971.19/13,227.68
  6. Step 6: Final answer
    x = 10,932.53

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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.