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Finding the Fourth Proportional to 6,644.49, 9,169.14 and 3,660.54

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Solution

The fourth proportional to 6,644.49, 9,169.14 and 3,660.54 is: 5,051.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.49 : 9,169.14 = 3,660.54 : x
  2. Step 2: Convert to fraction form
    6,644.49/9,169.14 = 3,660.54/x
  3. Step 3: Cross multiply
    6,644.49x = 9,169.14 × 3,660.54
  4. Step 4: Simplify right side
    6,644.49x = 33,564,003.74
  5. Step 5: Solve for x
    x = 33,564,003.74/6,644.49
  6. Step 6: Final answer
    x = 5,051.40

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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.