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Finding the Fourth Proportional to 6,367.36, 9,546 and 2,902.72

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Solution

The fourth proportional to 6,367.36, 9,546 and 2,902.72 is: 4,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.36 : 9,546 = 2,902.72 : x
  2. Step 2: Convert to fraction form
    6,367.36/9,546 = 2,902.72/x
  3. Step 3: Cross multiply
    6,367.36x = 9,546 × 2,902.72
  4. Step 4: Simplify right side
    6,367.36x = 27,709,365.12
  5. Step 5: Solve for x
    x = 27,709,365.12/6,367.36
  6. Step 6: Final answer
    x = 4,351.78

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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.