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Finding the Fourth Proportional to 7,264.97, 10,896.02 and 1,998.62

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Solution

The fourth proportional to 7,264.97, 10,896.02 and 1,998.62 is: 2,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.97 : 10,896.02 = 1,998.62 : x
  2. Step 2: Convert to fraction form
    7,264.97/10,896.02 = 1,998.62/x
  3. Step 3: Cross multiply
    7,264.97x = 10,896.02 × 1,998.62
  4. Step 4: Simplify right side
    7,264.97x = 21,777,049.35
  5. Step 5: Solve for x
    x = 21,777,049.35/7,264.97
  6. Step 6: Final answer
    x = 2,997.54

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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.