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Finding the Fourth Proportional to 6,654.14, 9,182.82 and 3,669.89

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Solution

The fourth proportional to 6,654.14, 9,182.82 and 3,669.89 is: 5,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.14 : 9,182.82 = 3,669.89 : x
  2. Step 2: Convert to fraction form
    6,654.14/9,182.82 = 3,669.89/x
  3. Step 3: Cross multiply
    6,654.14x = 9,182.82 × 3,669.89
  4. Step 4: Simplify right side
    6,654.14x = 33,699,893.38
  5. Step 5: Solve for x
    x = 33,699,893.38/6,654.14
  6. Step 6: Final answer
    x = 5,064.50

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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.