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Finding the Fourth Proportional to 6,535.62, 9,022.95 and 4,301.37

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Solution

The fourth proportional to 6,535.62, 9,022.95 and 4,301.37 is: 5,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.62 : 9,022.95 = 4,301.37 : x
  2. Step 2: Convert to fraction form
    6,535.62/9,022.95 = 4,301.37/x
  3. Step 3: Cross multiply
    6,535.62x = 9,022.95 × 4,301.37
  4. Step 4: Simplify right side
    6,535.62x = 38,811,046.44
  5. Step 5: Solve for x
    x = 38,811,046.44/6,535.62
  6. Step 6: Final answer
    x = 5,938.39

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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.