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Finding the Fourth Proportional to 6,202.33, 9,298.02 and 2,304

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Solution

The fourth proportional to 6,202.33, 9,298.02 and 2,304 is: 3,453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.33 : 9,298.02 = 2,304 : x
  2. Step 2: Convert to fraction form
    6,202.33/9,298.02 = 2,304/x
  3. Step 3: Cross multiply
    6,202.33x = 9,298.02 × 2,304
  4. Step 4: Simplify right side
    6,202.33x = 21,422,646.72
  5. Step 5: Solve for x
    x = 21,422,646.72/6,202.33
  6. Step 6: Final answer
    x = 3,453.97

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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.