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Finding the Fourth Proportional to 8,245.54, 11,375.69 and 6,097.24

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Solution

The fourth proportional to 8,245.54, 11,375.69 and 6,097.24 is: 8,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.54 : 11,375.69 = 6,097.24 : x
  2. Step 2: Convert to fraction form
    8,245.54/11,375.69 = 6,097.24/x
  3. Step 3: Cross multiply
    8,245.54x = 11,375.69 × 6,097.24
  4. Step 4: Simplify right side
    8,245.54x = 69,360,224.73
  5. Step 5: Solve for x
    x = 69,360,224.73/8,245.54
  6. Step 6: Final answer
    x = 8,411.85

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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.