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Finding the Fourth Proportional to 6,648.44, 9,174.44 and 3,664.11

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Solution

The fourth proportional to 6,648.44, 9,174.44 and 3,664.11 is: 5,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.44 : 9,174.44 = 3,664.11 : x
  2. Step 2: Convert to fraction form
    6,648.44/9,174.44 = 3,664.11/x
  3. Step 3: Cross multiply
    6,648.44x = 9,174.44 × 3,664.11
  4. Step 4: Simplify right side
    6,648.44x = 33,616,139.03
  5. Step 5: Solve for x
    x = 33,616,139.03/6,648.44
  6. Step 6: Final answer
    x = 5,056.24

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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.