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Finding the Fourth Proportional to 6,283.26, 9,424.90 and 1,900.50

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Solution

The fourth proportional to 6,283.26, 9,424.90 and 1,900.50 is: 2,850.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.26 : 9,424.90 = 1,900.50 : x
  2. Step 2: Convert to fraction form
    6,283.26/9,424.90 = 1,900.50/x
  3. Step 3: Cross multiply
    6,283.26x = 9,424.90 × 1,900.50
  4. Step 4: Simplify right side
    6,283.26x = 17,912,022.45
  5. Step 5: Solve for x
    x = 17,912,022.45/6,283.26
  6. Step 6: Final answer
    x = 2,850.75

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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.