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Finding the Fourth Proportional to 6,146.11, 9,220.53 and 2,448.49

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Solution

The fourth proportional to 6,146.11, 9,220.53 and 2,448.49 is: 3,673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.11 : 9,220.53 = 2,448.49 : x
  2. Step 2: Convert to fraction form
    6,146.11/9,220.53 = 2,448.49/x
  3. Step 3: Cross multiply
    6,146.11x = 9,220.53 × 2,448.49
  4. Step 4: Simplify right side
    6,146.11x = 22,576,375.50
  5. Step 5: Solve for x
    x = 22,576,375.50/6,146.11
  6. Step 6: Final answer
    x = 3,673.28

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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.