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Finding the Fourth Proportional to 6,326.16, 9,488.94 and 2,166.54

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Solution

The fourth proportional to 6,326.16, 9,488.94 and 2,166.54 is: 3,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.16 : 9,488.94 = 2,166.54 : x
  2. Step 2: Convert to fraction form
    6,326.16/9,488.94 = 2,166.54/x
  3. Step 3: Cross multiply
    6,326.16x = 9,488.94 × 2,166.54
  4. Step 4: Simplify right side
    6,326.16x = 20,558,168.07
  5. Step 5: Solve for x
    x = 20,558,168.07/6,326.16
  6. Step 6: Final answer
    x = 3,249.71

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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.