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Finding the Fourth Proportional to 6,563.81, 9,839.64 and 2,180.27

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Solution

The fourth proportional to 6,563.81, 9,839.64 and 2,180.27 is: 3,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.81 : 9,839.64 = 2,180.27 : x
  2. Step 2: Convert to fraction form
    6,563.81/9,839.64 = 2,180.27/x
  3. Step 3: Cross multiply
    6,563.81x = 9,839.64 × 2,180.27
  4. Step 4: Simplify right side
    6,563.81x = 21,453,071.90
  5. Step 5: Solve for x
    x = 21,453,071.90/6,563.81
  6. Step 6: Final answer
    x = 3,268.39

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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.