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Finding the Fourth Proportional to 6,344.70, 9,519.78 and 2,448.21

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Solution

The fourth proportional to 6,344.70, 9,519.78 and 2,448.21 is: 3,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.70 : 9,519.78 = 2,448.21 : x
  2. Step 2: Convert to fraction form
    6,344.70/9,519.78 = 2,448.21/x
  3. Step 3: Cross multiply
    6,344.70x = 9,519.78 × 2,448.21
  4. Step 4: Simplify right side
    6,344.70x = 23,306,420.59
  5. Step 5: Solve for x
    x = 23,306,420.59/6,344.70
  6. Step 6: Final answer
    x = 3,673.37

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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.