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Finding the Fourth Proportional to 8,497.82, 12,754.02 and 6,310.82

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Solution

The fourth proportional to 8,497.82, 12,754.02 and 6,310.82 is: 9,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.82 : 12,754.02 = 6,310.82 : x
  2. Step 2: Convert to fraction form
    8,497.82/12,754.02 = 6,310.82/x
  3. Step 3: Cross multiply
    8,497.82x = 12,754.02 × 6,310.82
  4. Step 4: Simplify right side
    8,497.82x = 80,488,324.50
  5. Step 5: Solve for x
    x = 80,488,324.50/8,497.82
  6. Step 6: Final answer
    x = 9,471.64

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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.