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Finding the Fourth Proportional to 6,563.57, 9,837.14 and 5,171.40

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Solution

The fourth proportional to 6,563.57, 9,837.14 and 5,171.40 is: 7,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.57 : 9,837.14 = 5,171.40 : x
  2. Step 2: Convert to fraction form
    6,563.57/9,837.14 = 5,171.40/x
  3. Step 3: Cross multiply
    6,563.57x = 9,837.14 × 5,171.40
  4. Step 4: Simplify right side
    6,563.57x = 50,871,759.94
  5. Step 5: Solve for x
    x = 50,871,759.94/6,563.57
  6. Step 6: Final answer
    x = 7,750.63

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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.