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Finding the Fourth Proportional to 6,369.50, 9,556.68 and 2,474.21

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Solution

The fourth proportional to 6,369.50, 9,556.68 and 2,474.21 is: 3,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.50 : 9,556.68 = 2,474.21 : x
  2. Step 2: Convert to fraction form
    6,369.50/9,556.68 = 2,474.21/x
  3. Step 3: Cross multiply
    6,369.50x = 9,556.68 × 2,474.21
  4. Step 4: Simplify right side
    6,369.50x = 23,645,233.22
  5. Step 5: Solve for x
    x = 23,645,233.22/6,369.50
  6. Step 6: Final answer
    x = 3,712.26

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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.