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Finding the Fourth Proportional to 6,667, 9,204.18 and 4,015

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Solution

The fourth proportional to 6,667, 9,204.18 and 4,015 is: 5,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667 : 9,204.18 = 4,015 : x
  2. Step 2: Convert to fraction form
    6,667/9,204.18 = 4,015/x
  3. Step 3: Cross multiply
    6,667x = 9,204.18 × 4,015
  4. Step 4: Simplify right side
    6,667x = 36,954,782.70
  5. Step 5: Solve for x
    x = 36,954,782.70/6,667
  6. Step 6: Final answer
    x = 5,542.94

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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.