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Finding the Fourth Proportional to 6,326.70, 9,490.17 and 2,166.78

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Solution

The fourth proportional to 6,326.70, 9,490.17 and 2,166.78 is: 3,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.70 : 9,490.17 = 2,166.78 : x
  2. Step 2: Convert to fraction form
    6,326.70/9,490.17 = 2,166.78/x
  3. Step 3: Cross multiply
    6,326.70x = 9,490.17 × 2,166.78
  4. Step 4: Simplify right side
    6,326.70x = 20,563,110.55
  5. Step 5: Solve for x
    x = 20,563,110.55/6,326.70
  6. Step 6: Final answer
    x = 3,250.21

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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.