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Finding the Fourth Proportional to 6,744, 10,116.16 and 2,640

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Solution

The fourth proportional to 6,744, 10,116.16 and 2,640 is: 3,960.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744 : 10,116.16 = 2,640 : x
  2. Step 2: Convert to fraction form
    6,744/10,116.16 = 2,640/x
  3. Step 3: Cross multiply
    6,744x = 10,116.16 × 2,640
  4. Step 4: Simplify right side
    6,744x = 26,706,662.40
  5. Step 5: Solve for x
    x = 26,706,662.40/6,744
  6. Step 6: Final answer
    x = 3,960.06

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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.