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Finding the Fourth Proportional to 6,584.76, 9,873.90 and 2,424.60

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Solution

The fourth proportional to 6,584.76, 9,873.90 and 2,424.60 is: 3,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.76 : 9,873.90 = 2,424.60 : x
  2. Step 2: Convert to fraction form
    6,584.76/9,873.90 = 2,424.60/x
  3. Step 3: Cross multiply
    6,584.76x = 9,873.90 × 2,424.60
  4. Step 4: Simplify right side
    6,584.76x = 23,940,257.94
  5. Step 5: Solve for x
    x = 23,940,257.94/6,584.76
  6. Step 6: Final answer
    x = 3,635.71

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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.