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Finding the Fourth Proportional to 6,203.40, 9,306.46 and 3,434.11

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Solution

The fourth proportional to 6,203.40, 9,306.46 and 3,434.11 is: 5,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.40 : 9,306.46 = 3,434.11 : x
  2. Step 2: Convert to fraction form
    6,203.40/9,306.46 = 3,434.11/x
  3. Step 3: Cross multiply
    6,203.40x = 9,306.46 × 3,434.11
  4. Step 4: Simplify right side
    6,203.40x = 31,959,375.50
  5. Step 5: Solve for x
    x = 31,959,375.50/6,203.40
  6. Step 6: Final answer
    x = 5,151.92

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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.