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Finding the Fourth Proportional to 12,166.94, 16,789.38 and 6,863.06

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Solution

The fourth proportional to 12,166.94, 16,789.38 and 6,863.06 is: 9,470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.94 : 16,789.38 = 6,863.06 : x
  2. Step 2: Convert to fraction form
    12,166.94/16,789.38 = 6,863.06/x
  3. Step 3: Cross multiply
    12,166.94x = 16,789.38 × 6,863.06
  4. Step 4: Simplify right side
    12,166.94x = 115,226,538.54
  5. Step 5: Solve for x
    x = 115,226,538.54/12,166.94
  6. Step 6: Final answer
    x = 9,470.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.