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Finding the Fourth Proportional to 6,571, 9,857.94 and 2,467

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Solution

The fourth proportional to 6,571, 9,857.94 and 2,467 is: 3,701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571 : 9,857.94 = 2,467 : x
  2. Step 2: Convert to fraction form
    6,571/9,857.94 = 2,467/x
  3. Step 3: Cross multiply
    6,571x = 9,857.94 × 2,467
  4. Step 4: Simplify right side
    6,571x = 24,319,537.98
  5. Step 5: Solve for x
    x = 24,319,537.98/6,571
  6. Step 6: Final answer
    x = 3,701.04

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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.