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Finding the Fourth Proportional to 6,497.18, 8,966.49 and 3,843.98

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Solution

The fourth proportional to 6,497.18, 8,966.49 and 3,843.98 is: 5,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.18 : 8,966.49 = 3,843.98 : x
  2. Step 2: Convert to fraction form
    6,497.18/8,966.49 = 3,843.98/x
  3. Step 3: Cross multiply
    6,497.18x = 8,966.49 × 3,843.98
  4. Step 4: Simplify right side
    6,497.18x = 34,467,008.23
  5. Step 5: Solve for x
    x = 34,467,008.23/6,497.18
  6. Step 6: Final answer
    x = 5,304.92

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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.