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Finding the Fourth Proportional to 8,223.38, 12,340.73 and 7,126.64

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Solution

The fourth proportional to 8,223.38, 12,340.73 and 7,126.64 is: 10,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.38 : 12,340.73 = 7,126.64 : x
  2. Step 2: Convert to fraction form
    8,223.38/12,340.73 = 7,126.64/x
  3. Step 3: Cross multiply
    8,223.38x = 12,340.73 × 7,126.64
  4. Step 4: Simplify right side
    8,223.38x = 87,947,896.16
  5. Step 5: Solve for x
    x = 87,947,896.16/8,223.38
  6. Step 6: Final answer
    x = 10,694.87

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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.