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Finding the Fourth Proportional to 12,996.56, 17,936.28 and 7,407.44

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Solution

The fourth proportional to 12,996.56, 17,936.28 and 7,407.44 is: 10,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.56 : 17,936.28 = 7,407.44 : x
  2. Step 2: Convert to fraction form
    12,996.56/17,936.28 = 7,407.44/x
  3. Step 3: Cross multiply
    12,996.56x = 17,936.28 × 7,407.44
  4. Step 4: Simplify right side
    12,996.56x = 132,861,917.92
  5. Step 5: Solve for x
    x = 132,861,917.92/12,996.56
  6. Step 6: Final answer
    x = 10,222.85

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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.