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Finding the Fourth Proportional to 6,553.23, 9,046.56 and 3,863.63

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Solution

The fourth proportional to 6,553.23, 9,046.56 and 3,863.63 is: 5,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.23 : 9,046.56 = 3,863.63 : x
  2. Step 2: Convert to fraction form
    6,553.23/9,046.56 = 3,863.63/x
  3. Step 3: Cross multiply
    6,553.23x = 9,046.56 × 3,863.63
  4. Step 4: Simplify right side
    6,553.23x = 34,952,515.38
  5. Step 5: Solve for x
    x = 34,952,515.38/6,553.23
  6. Step 6: Final answer
    x = 5,333.63

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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.