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Finding the Fourth Proportional to 6,895.96, 10,343.96 and 2,513.41

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Solution

The fourth proportional to 6,895.96, 10,343.96 and 2,513.41 is: 3,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.96 : 10,343.96 = 2,513.41 : x
  2. Step 2: Convert to fraction form
    6,895.96/10,343.96 = 2,513.41/x
  3. Step 3: Cross multiply
    6,895.96x = 10,343.96 × 2,513.41
  4. Step 4: Simplify right side
    6,895.96x = 25,998,612.50
  5. Step 5: Solve for x
    x = 25,998,612.50/6,895.96
  6. Step 6: Final answer
    x = 3,770.12

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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.