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Finding the Fourth Proportional to 6,505.80, 9,758.70 and 2,122.20

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Solution

The fourth proportional to 6,505.80, 9,758.70 and 2,122.20 is: 3,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.80 : 9,758.70 = 2,122.20 : x
  2. Step 2: Convert to fraction form
    6,505.80/9,758.70 = 2,122.20/x
  3. Step 3: Cross multiply
    6,505.80x = 9,758.70 × 2,122.20
  4. Step 4: Simplify right side
    6,505.80x = 20,709,913.14
  5. Step 5: Solve for x
    x = 20,709,913.14/6,505.80
  6. Step 6: Final answer
    x = 3,183.30

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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.