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Finding the Fourth Proportional to 7,997.94, 11,998.67 and 2,451.70

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Solution

The fourth proportional to 7,997.94, 11,998.67 and 2,451.70 is: 3,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.94 : 11,998.67 = 2,451.70 : x
  2. Step 2: Convert to fraction form
    7,997.94/11,998.67 = 2,451.70/x
  3. Step 3: Cross multiply
    7,997.94x = 11,998.67 × 2,451.70
  4. Step 4: Simplify right side
    7,997.94x = 29,417,141.98
  5. Step 5: Solve for x
    x = 29,417,141.98/7,997.94
  6. Step 6: Final answer
    x = 3,678.09

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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.