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Finding the Fourth Proportional to 6,953.67, 9,596.01 and 3,766.90

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Solution

The fourth proportional to 6,953.67, 9,596.01 and 3,766.90 is: 5,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.67 : 9,596.01 = 3,766.90 : x
  2. Step 2: Convert to fraction form
    6,953.67/9,596.01 = 3,766.90/x
  3. Step 3: Cross multiply
    6,953.67x = 9,596.01 × 3,766.90
  4. Step 4: Simplify right side
    6,953.67x = 36,147,179.02
  5. Step 5: Solve for x
    x = 36,147,179.02/6,953.67
  6. Step 6: Final answer
    x = 5,198.29

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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.