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Finding the Fourth Proportional to 6,563.10, 9,057.09 and 3,578.96

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Solution

The fourth proportional to 6,563.10, 9,057.09 and 3,578.96 is: 4,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.10 : 9,057.09 = 3,578.96 : x
  2. Step 2: Convert to fraction form
    6,563.10/9,057.09 = 3,578.96/x
  3. Step 3: Cross multiply
    6,563.10x = 9,057.09 × 3,578.96
  4. Step 4: Simplify right side
    6,563.10x = 32,414,917.54
  5. Step 5: Solve for x
    x = 32,414,917.54/6,563.10
  6. Step 6: Final answer
    x = 4,938.96

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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.