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Finding the Fourth Proportional to 6,517.26, 9,777.54 and 1,900.26

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Solution

The fourth proportional to 6,517.26, 9,777.54 and 1,900.26 is: 2,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.26 : 9,777.54 = 1,900.26 : x
  2. Step 2: Convert to fraction form
    6,517.26/9,777.54 = 1,900.26/x
  3. Step 3: Cross multiply
    6,517.26x = 9,777.54 × 1,900.26
  4. Step 4: Simplify right side
    6,517.26x = 18,579,868.16
  5. Step 5: Solve for x
    x = 18,579,868.16/6,517.26
  6. Step 6: Final answer
    x = 2,850.87

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1.5x scale

Why These Related Problems?

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