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Finding the Fourth Proportional to 6,563.14, 9,822.03 and 6,290.98

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Solution

The fourth proportional to 6,563.14, 9,822.03 and 6,290.98 is: 9,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.14 : 9,822.03 = 6,290.98 : x
  2. Step 2: Convert to fraction form
    6,563.14/9,822.03 = 6,290.98/x
  3. Step 3: Cross multiply
    6,563.14x = 9,822.03 × 6,290.98
  4. Step 4: Simplify right side
    6,563.14x = 61,790,194.29
  5. Step 5: Solve for x
    x = 61,790,194.29/6,563.14
  6. Step 6: Final answer
    x = 9,414.73

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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.