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Finding the Fourth Proportional to 8,573.75, 11,825.24 and 7,380.70

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Solution

The fourth proportional to 8,573.75, 11,825.24 and 7,380.70 is: 10,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.75 : 11,825.24 = 7,380.70 : x
  2. Step 2: Convert to fraction form
    8,573.75/11,825.24 = 7,380.70/x
  3. Step 3: Cross multiply
    8,573.75x = 11,825.24 × 7,380.70
  4. Step 4: Simplify right side
    8,573.75x = 87,278,548.87
  5. Step 5: Solve for x
    x = 87,278,548.87/8,573.75
  6. Step 6: Final answer
    x = 10,179.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.