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Finding the Fourth Proportional to 6,563.64, 9,057.78 and 3,769.08

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Solution

The fourth proportional to 6,563.64, 9,057.78 and 3,769.08 is: 5,201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.64 : 9,057.78 = 3,769.08 : x
  2. Step 2: Convert to fraction form
    6,563.64/9,057.78 = 3,769.08/x
  3. Step 3: Cross multiply
    6,563.64x = 9,057.78 × 3,769.08
  4. Step 4: Simplify right side
    6,563.64x = 34,139,497.44
  5. Step 5: Solve for x
    x = 34,139,497.44/6,563.64
  6. Step 6: Final answer
    x = 5,201.31

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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.