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Finding the Fourth Proportional to 6,628.22, 9,146.77 and 3,603.24

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Solution

The fourth proportional to 6,628.22, 9,146.77 and 3,603.24 is: 4,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.22 : 9,146.77 = 3,603.24 : x
  2. Step 2: Convert to fraction form
    6,628.22/9,146.77 = 3,603.24/x
  3. Step 3: Cross multiply
    6,628.22x = 9,146.77 × 3,603.24
  4. Step 4: Simplify right side
    6,628.22x = 32,958,007.53
  5. Step 5: Solve for x
    x = 32,958,007.53/6,628.22
  6. Step 6: Final answer
    x = 4,972.38

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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.