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Finding the Fourth Proportional to 7,754.87, 11,635.42 and 2,824.85

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Solution

The fourth proportional to 7,754.87, 11,635.42 and 2,824.85 is: 4,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.87 : 11,635.42 = 2,824.85 : x
  2. Step 2: Convert to fraction form
    7,754.87/11,635.42 = 2,824.85/x
  3. Step 3: Cross multiply
    7,754.87x = 11,635.42 × 2,824.85
  4. Step 4: Simplify right side
    7,754.87x = 32,868,302.06
  5. Step 5: Solve for x
    x = 32,868,302.06/7,754.87
  6. Step 6: Final answer
    x = 4,238.41

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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.