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Finding the Fourth Proportional to 6,622.59, 9,139.34 and 3,638.62

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Solution

The fourth proportional to 6,622.59, 9,139.34 and 3,638.62 is: 5,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622.59 : 9,139.34 = 3,638.62 : x
  2. Step 2: Convert to fraction form
    6,622.59/9,139.34 = 3,638.62/x
  3. Step 3: Cross multiply
    6,622.59x = 9,139.34 × 3,638.62
  4. Step 4: Simplify right side
    6,622.59x = 33,254,585.31
  5. Step 5: Solve for x
    x = 33,254,585.31/6,622.59
  6. Step 6: Final answer
    x = 5,021.39

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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.