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Finding the Fourth Proportional to 8,243.10, 12,350.16 and 6,865.26

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Solution

The fourth proportional to 8,243.10, 12,350.16 and 6,865.26 is: 10,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.10 : 12,350.16 = 6,865.26 : x
  2. Step 2: Convert to fraction form
    8,243.10/12,350.16 = 6,865.26/x
  3. Step 3: Cross multiply
    8,243.10x = 12,350.16 × 6,865.26
  4. Step 4: Simplify right side
    8,243.10x = 84,787,059.44
  5. Step 5: Solve for x
    x = 84,787,059.44/8,243.10
  6. Step 6: Final answer
    x = 10,285.82

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1.5x scale

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.