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Finding the Fourth Proportional to 6,361.26, 9,541.91 and 1,744.26

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Solution

The fourth proportional to 6,361.26, 9,541.91 and 1,744.26 is: 2,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.26 : 9,541.91 = 1,744.26 : x
  2. Step 2: Convert to fraction form
    6,361.26/9,541.91 = 1,744.26/x
  3. Step 3: Cross multiply
    6,361.26x = 9,541.91 × 1,744.26
  4. Step 4: Simplify right side
    6,361.26x = 16,643,563.22
  5. Step 5: Solve for x
    x = 16,643,563.22/6,361.26
  6. Step 6: Final answer
    x = 2,616.39

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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.