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Finding the Fourth Proportional to 6,950.26, 10,424.28 and 2,270.23

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Solution

The fourth proportional to 6,950.26, 10,424.28 and 2,270.23 is: 3,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.26 : 10,424.28 = 2,270.23 : x
  2. Step 2: Convert to fraction form
    6,950.26/10,424.28 = 2,270.23/x
  3. Step 3: Cross multiply
    6,950.26x = 10,424.28 × 2,270.23
  4. Step 4: Simplify right side
    6,950.26x = 23,665,513.18
  5. Step 5: Solve for x
    x = 23,665,513.18/6,950.26
  6. Step 6: Final answer
    x = 3,404.98

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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.