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Finding the Fourth Proportional to 6,683, 10,018.46 and 3,170.84

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Solution

The fourth proportional to 6,683, 10,018.46 and 3,170.84 is: 4,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683 : 10,018.46 = 3,170.84 : x
  2. Step 2: Convert to fraction form
    6,683/10,018.46 = 3,170.84/x
  3. Step 3: Cross multiply
    6,683x = 10,018.46 × 3,170.84
  4. Step 4: Simplify right side
    6,683x = 31,766,933.71
  5. Step 5: Solve for x
    x = 31,766,933.71/6,683
  6. Step 6: Final answer
    x = 4,753.39

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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.