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Finding the Fourth Proportional to 11,997.84, 17,996.11 and 3,677.88

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Solution

The fourth proportional to 11,997.84, 17,996.11 and 3,677.88 is: 5,516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.84 : 17,996.11 = 3,677.88 : x
  2. Step 2: Convert to fraction form
    11,997.84/17,996.11 = 3,677.88/x
  3. Step 3: Cross multiply
    11,997.84x = 17,996.11 × 3,677.88
  4. Step 4: Simplify right side
    11,997.84x = 66,187,533.05
  5. Step 5: Solve for x
    x = 66,187,533.05/11,997.84
  6. Step 6: Final answer
    x = 5,516.62

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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.