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Finding the Fourth Proportional to 12,809, 17,676.42 and 6,921

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Solution

The fourth proportional to 12,809, 17,676.42 and 6,921 is: 9,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809 : 17,676.42 = 6,921 : x
  2. Step 2: Convert to fraction form
    12,809/17,676.42 = 6,921/x
  3. Step 3: Cross multiply
    12,809x = 17,676.42 × 6,921
  4. Step 4: Simplify right side
    12,809x = 122,338,502.82
  5. Step 5: Solve for x
    x = 122,338,502.82/12,809
  6. Step 6: Final answer
    x = 9,550.98

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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.