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Finding the Fourth Proportional to 7,736.02, 11,604.84 and 2,542.84

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Solution

The fourth proportional to 7,736.02, 11,604.84 and 2,542.84 is: 3,814.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.02 : 11,604.84 = 2,542.84 : x
  2. Step 2: Convert to fraction form
    7,736.02/11,604.84 = 2,542.84/x
  3. Step 3: Cross multiply
    7,736.02x = 11,604.84 × 2,542.84
  4. Step 4: Simplify right side
    7,736.02x = 29,509,251.35
  5. Step 5: Solve for x
    x = 29,509,251.35/7,736.02
  6. Step 6: Final answer
    x = 3,814.53

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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.