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Finding the Fourth Proportional to 11,770, 16,244.04 and 6,802

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Solution

The fourth proportional to 11,770, 16,244.04 and 6,802 is: 9,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770 : 16,244.04 = 6,802 : x
  2. Step 2: Convert to fraction form
    11,770/16,244.04 = 6,802/x
  3. Step 3: Cross multiply
    11,770x = 16,244.04 × 6,802
  4. Step 4: Simplify right side
    11,770x = 110,491,960.08
  5. Step 5: Solve for x
    x = 110,491,960.08/11,770
  6. Step 6: Final answer
    x = 9,387.59

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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.