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Finding the Fourth Proportional to 6,858.04, 9,464.43 and 3,874

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Solution

The fourth proportional to 6,858.04, 9,464.43 and 3,874 is: 5,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.04 : 9,464.43 = 3,874 : x
  2. Step 2: Convert to fraction form
    6,858.04/9,464.43 = 3,874/x
  3. Step 3: Cross multiply
    6,858.04x = 9,464.43 × 3,874
  4. Step 4: Simplify right side
    6,858.04x = 36,665,201.82
  5. Step 5: Solve for x
    x = 36,665,201.82/6,858.04
  6. Step 6: Final answer
    x = 5,346.31

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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.