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Finding the Fourth Proportional to 6,645.14, 9,169.91 and 3,660.39

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Solution

The fourth proportional to 6,645.14, 9,169.91 and 3,660.39 is: 5,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.14 : 9,169.91 = 3,660.39 : x
  2. Step 2: Convert to fraction form
    6,645.14/9,169.91 = 3,660.39/x
  3. Step 3: Cross multiply
    6,645.14x = 9,169.91 × 3,660.39
  4. Step 4: Simplify right side
    6,645.14x = 33,565,442.29
  5. Step 5: Solve for x
    x = 33,565,442.29/6,645.14
  6. Step 6: Final answer
    x = 5,051.13

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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.