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Finding the Fourth Proportional to 6,203, 9,299 and 2,304.67

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Solution

The fourth proportional to 6,203, 9,299 and 2,304.67 is: 3,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203 : 9,299 = 2,304.67 : x
  2. Step 2: Convert to fraction form
    6,203/9,299 = 2,304.67/x
  3. Step 3: Cross multiply
    6,203x = 9,299 × 2,304.67
  4. Step 4: Simplify right side
    6,203x = 21,431,126.33
  5. Step 5: Solve for x
    x = 21,431,126.33/6,203
  6. Step 6: Final answer
    x = 3,454.96

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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.