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Finding the Fourth Proportional to 6,883.50, 10,329.34 and 2,501.30

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Solution

The fourth proportional to 6,883.50, 10,329.34 and 2,501.30 is: 3,753.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.50 : 10,329.34 = 2,501.30 : x
  2. Step 2: Convert to fraction form
    6,883.50/10,329.34 = 2,501.30/x
  3. Step 3: Cross multiply
    6,883.50x = 10,329.34 × 2,501.30
  4. Step 4: Simplify right side
    6,883.50x = 25,836,778.14
  5. Step 5: Solve for x
    x = 25,836,778.14/6,883.50
  6. Step 6: Final answer
    x = 3,753.44

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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.