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Finding the Fourth Proportional to 5,224.76, 7,836.10 and 2,450.72

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Solution

The fourth proportional to 5,224.76, 7,836.10 and 2,450.72 is: 3,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.76 : 7,836.10 = 2,450.72 : x
  2. Step 2: Convert to fraction form
    5,224.76/7,836.10 = 2,450.72/x
  3. Step 3: Cross multiply
    5,224.76x = 7,836.10 × 2,450.72
  4. Step 4: Simplify right side
    5,224.76x = 19,204,086.99
  5. Step 5: Solve for x
    x = 19,204,086.99/5,224.76
  6. Step 6: Final answer
    x = 3,675.59

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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.