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Finding the Fourth Proportional to 6,306, 9,463.05 and 2,843.25

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Solution

The fourth proportional to 6,306, 9,463.05 and 2,843.25 is: 4,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306 : 9,463.05 = 2,843.25 : x
  2. Step 2: Convert to fraction form
    6,306/9,463.05 = 2,843.25/x
  3. Step 3: Cross multiply
    6,306x = 9,463.05 × 2,843.25
  4. Step 4: Simplify right side
    6,306x = 26,905,816.91
  5. Step 5: Solve for x
    x = 26,905,816.91/6,306
  6. Step 6: Final answer
    x = 4,266.70

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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.