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Finding the Fourth Proportional to 6,614.51, 9,922.25 and 1,997.87

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Solution

The fourth proportional to 6,614.51, 9,922.25 and 1,997.87 is: 2,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.51 : 9,922.25 = 1,997.87 : x
  2. Step 2: Convert to fraction form
    6,614.51/9,922.25 = 1,997.87/x
  3. Step 3: Cross multiply
    6,614.51x = 9,922.25 × 1,997.87
  4. Step 4: Simplify right side
    6,614.51x = 19,823,355.62
  5. Step 5: Solve for x
    x = 19,823,355.62/6,614.51
  6. Step 6: Final answer
    x = 2,996.95

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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.