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Finding the Fourth Proportional to 6,997.70, 10,494.10 and 2,066.04

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Solution

The fourth proportional to 6,997.70, 10,494.10 and 2,066.04 is: 3,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.70 : 10,494.10 = 2,066.04 : x
  2. Step 2: Convert to fraction form
    6,997.70/10,494.10 = 2,066.04/x
  3. Step 3: Cross multiply
    6,997.70x = 10,494.10 × 2,066.04
  4. Step 4: Simplify right side
    6,997.70x = 21,681,230.36
  5. Step 5: Solve for x
    x = 21,681,230.36/6,997.70
  6. Step 6: Final answer
    x = 3,098.34

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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.