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Finding the Fourth Proportional to 6,340, 9,513.84 and 2,692

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Solution

The fourth proportional to 6,340, 9,513.84 and 2,692 is: 4,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340 : 9,513.84 = 2,692 : x
  2. Step 2: Convert to fraction form
    6,340/9,513.84 = 2,692/x
  3. Step 3: Cross multiply
    6,340x = 9,513.84 × 2,692
  4. Step 4: Simplify right side
    6,340x = 25,611,257.28
  5. Step 5: Solve for x
    x = 25,611,257.28/6,340
  6. Step 6: Final answer
    x = 4,039.63

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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.