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Finding the Fourth Proportional to 6,326.04, 9,488.96 and 2,166

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Solution

The fourth proportional to 6,326.04, 9,488.96 and 2,166 is: 3,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.04 : 9,488.96 = 2,166 : x
  2. Step 2: Convert to fraction form
    6,326.04/9,488.96 = 2,166/x
  3. Step 3: Cross multiply
    6,326.04x = 9,488.96 × 2,166
  4. Step 4: Simplify right side
    6,326.04x = 20,553,087.36
  5. Step 5: Solve for x
    x = 20,553,087.36/6,326.04
  6. Step 6: Final answer
    x = 3,248.97

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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.