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Finding the Fourth Proportional to 6,836.87, 10,247.98 and 4,883.15

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Solution

The fourth proportional to 6,836.87, 10,247.98 and 4,883.15 is: 7,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.87 : 10,247.98 = 4,883.15 : x
  2. Step 2: Convert to fraction form
    6,836.87/10,247.98 = 4,883.15/x
  3. Step 3: Cross multiply
    6,836.87x = 10,247.98 × 4,883.15
  4. Step 4: Simplify right side
    6,836.87x = 50,042,423.54
  5. Step 5: Solve for x
    x = 50,042,423.54/6,836.87
  6. Step 6: Final answer
    x = 7,319.49

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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.