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Finding the Fourth Proportional to 6,663.54, 9,986.28 and 3,694.98

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Solution

The fourth proportional to 6,663.54, 9,986.28 and 3,694.98 is: 5,537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.54 : 9,986.28 = 3,694.98 : x
  2. Step 2: Convert to fraction form
    6,663.54/9,986.28 = 3,694.98/x
  3. Step 3: Cross multiply
    6,663.54x = 9,986.28 × 3,694.98
  4. Step 4: Simplify right side
    6,663.54x = 36,899,104.87
  5. Step 5: Solve for x
    x = 36,899,104.87/6,663.54
  6. Step 6: Final answer
    x = 5,537.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.