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Finding the Fourth Proportional to 6,553.46, 9,830.82 and 2,171

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Solution

The fourth proportional to 6,553.46, 9,830.82 and 2,171 is: 3,256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.46 : 9,830.82 = 2,171 : x
  2. Step 2: Convert to fraction form
    6,553.46/9,830.82 = 2,171/x
  3. Step 3: Cross multiply
    6,553.46x = 9,830.82 × 2,171
  4. Step 4: Simplify right side
    6,553.46x = 21,342,710.22
  5. Step 5: Solve for x
    x = 21,342,710.22/6,553.46
  6. Step 6: Final answer
    x = 3,256.71

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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.