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Finding the Fourth Proportional to 6,467.88, 9,701.88 and 4,161

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Solution

The fourth proportional to 6,467.88, 9,701.88 and 4,161 is: 6,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.88 : 9,701.88 = 4,161 : x
  2. Step 2: Convert to fraction form
    6,467.88/9,701.88 = 4,161/x
  3. Step 3: Cross multiply
    6,467.88x = 9,701.88 × 4,161
  4. Step 4: Simplify right side
    6,467.88x = 40,369,522.68
  5. Step 5: Solve for x
    x = 40,369,522.68/6,467.88
  6. Step 6: Final answer
    x = 6,241.54

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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.