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Finding the Fourth Proportional to 6,563.36, 9,839.84 and 3,274.76

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Solution

The fourth proportional to 6,563.36, 9,839.84 and 3,274.76 is: 4,909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.36 : 9,839.84 = 3,274.76 : x
  2. Step 2: Convert to fraction form
    6,563.36/9,839.84 = 3,274.76/x
  3. Step 3: Cross multiply
    6,563.36x = 9,839.84 × 3,274.76
  4. Step 4: Simplify right side
    6,563.36x = 32,223,114.44
  5. Step 5: Solve for x
    x = 32,223,114.44/6,563.36
  6. Step 6: Final answer
    x = 4,909.55

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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.