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Finding the Fourth Proportional to 6,622.38, 9,138.88 and 3,638.22

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Solution

The fourth proportional to 6,622.38, 9,138.88 and 3,638.22 is: 5,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622.38 : 9,138.88 = 3,638.22 : x
  2. Step 2: Convert to fraction form
    6,622.38/9,138.88 = 3,638.22/x
  3. Step 3: Cross multiply
    6,622.38x = 9,138.88 × 3,638.22
  4. Step 4: Simplify right side
    6,622.38x = 33,249,223.94
  5. Step 5: Solve for x
    x = 33,249,223.94/6,622.38
  6. Step 6: Final answer
    x = 5,020.74

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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.