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Finding the Fourth Proportional to 6,846, 10,269.30 and 2,229

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Solution

The fourth proportional to 6,846, 10,269.30 and 2,229 is: 3,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846 : 10,269.30 = 2,229 : x
  2. Step 2: Convert to fraction form
    6,846/10,269.30 = 2,229/x
  3. Step 3: Cross multiply
    6,846x = 10,269.30 × 2,229
  4. Step 4: Simplify right side
    6,846x = 22,890,269.70
  5. Step 5: Solve for x
    x = 22,890,269.70/6,846
  6. Step 6: Final answer
    x = 3,343.60

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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.