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Finding the Fourth Proportional to 6,669.96, 9,199.77 and 4,680.96

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Solution

The fourth proportional to 6,669.96, 9,199.77 and 4,680.96 is: 6,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.96 : 9,199.77 = 4,680.96 : x
  2. Step 2: Convert to fraction form
    6,669.96/9,199.77 = 4,680.96/x
  3. Step 3: Cross multiply
    6,669.96x = 9,199.77 × 4,680.96
  4. Step 4: Simplify right side
    6,669.96x = 43,063,755.38
  5. Step 5: Solve for x
    x = 43,063,755.38/6,669.96
  6. Step 6: Final answer
    x = 6,456.37

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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.