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Finding the Fourth Proportional to 6,846, 10,269.48 and 2,742

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Solution

The fourth proportional to 6,846, 10,269.48 and 2,742 is: 4,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846 : 10,269.48 = 2,742 : x
  2. Step 2: Convert to fraction form
    6,846/10,269.48 = 2,742/x
  3. Step 3: Cross multiply
    6,846x = 10,269.48 × 2,742
  4. Step 4: Simplify right side
    6,846x = 28,158,914.16
  5. Step 5: Solve for x
    x = 28,158,914.16/6,846
  6. Step 6: Final answer
    x = 4,113.19

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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.