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Finding the Fourth Proportional to 7,224.86, 10,836.07 and 2,843.57

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Solution

The fourth proportional to 7,224.86, 10,836.07 and 2,843.57 is: 4,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.86 : 10,836.07 = 2,843.57 : x
  2. Step 2: Convert to fraction form
    7,224.86/10,836.07 = 2,843.57/x
  3. Step 3: Cross multiply
    7,224.86x = 10,836.07 × 2,843.57
  4. Step 4: Simplify right side
    7,224.86x = 30,813,123.57
  5. Step 5: Solve for x
    x = 30,813,123.57/7,224.86
  6. Step 6: Final answer
    x = 4,264.87

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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.