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Finding the Fourth Proportional to 6,241.16, 9,361.68 and 1,858.66

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Solution

The fourth proportional to 6,241.16, 9,361.68 and 1,858.66 is: 2,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.16 : 9,361.68 = 1,858.66 : x
  2. Step 2: Convert to fraction form
    6,241.16/9,361.68 = 1,858.66/x
  3. Step 3: Cross multiply
    6,241.16x = 9,361.68 × 1,858.66
  4. Step 4: Simplify right side
    6,241.16x = 17,400,180.15
  5. Step 5: Solve for x
    x = 17,400,180.15/6,241.16
  6. Step 6: Final answer
    x = 2,787.97

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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.