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Finding the Fourth Proportional to 6,808.84, 10,212 and 2,426.44

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Solution

The fourth proportional to 6,808.84, 10,212 and 2,426.44 is: 3,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.84 : 10,212 = 2,426.44 : x
  2. Step 2: Convert to fraction form
    6,808.84/10,212 = 2,426.44/x
  3. Step 3: Cross multiply
    6,808.84x = 10,212 × 2,426.44
  4. Step 4: Simplify right side
    6,808.84x = 24,778,805.28
  5. Step 5: Solve for x
    x = 24,778,805.28/6,808.84
  6. Step 6: Final answer
    x = 3,639.21

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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.