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Finding the Fourth Proportional to 6,991.13, 9,649.09 and 4,474.31

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Solution

The fourth proportional to 6,991.13, 9,649.09 and 4,474.31 is: 6,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.13 : 9,649.09 = 4,474.31 : x
  2. Step 2: Convert to fraction form
    6,991.13/9,649.09 = 4,474.31/x
  3. Step 3: Cross multiply
    6,991.13x = 9,649.09 × 4,474.31
  4. Step 4: Simplify right side
    6,991.13x = 43,172,996.63
  5. Step 5: Solve for x
    x = 43,172,996.63/6,991.13
  6. Step 6: Final answer
    x = 6,175.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.