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Finding the Fourth Proportional to 6,358.61, 9,535.57 and 2,197.55

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Solution

The fourth proportional to 6,358.61, 9,535.57 and 2,197.55 is: 3,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.61 : 9,535.57 = 2,197.55 : x
  2. Step 2: Convert to fraction form
    6,358.61/9,535.57 = 2,197.55/x
  3. Step 3: Cross multiply
    6,358.61x = 9,535.57 × 2,197.55
  4. Step 4: Simplify right side
    6,358.61x = 20,954,891.85
  5. Step 5: Solve for x
    x = 20,954,891.85/6,358.61
  6. Step 6: Final answer
    x = 3,295.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.