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Finding the Fourth Proportional to 11,766, 16,238.52 and 6,798

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Solution

The fourth proportional to 11,766, 16,238.52 and 6,798 is: 9,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766 : 16,238.52 = 6,798 : x
  2. Step 2: Convert to fraction form
    11,766/16,238.52 = 6,798/x
  3. Step 3: Cross multiply
    11,766x = 16,238.52 × 6,798
  4. Step 4: Simplify right side
    11,766x = 110,389,458.96
  5. Step 5: Solve for x
    x = 110,389,458.96/11,766
  6. Step 6: Final answer
    x = 9,382.07

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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.