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Finding the Fourth Proportional to 7,704.92, 11,552.32 and 2,771.92

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Solution

The fourth proportional to 7,704.92, 11,552.32 and 2,771.92 is: 4,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.92 : 11,552.32 = 2,771.92 : x
  2. Step 2: Convert to fraction form
    7,704.92/11,552.32 = 2,771.92/x
  3. Step 3: Cross multiply
    7,704.92x = 11,552.32 × 2,771.92
  4. Step 4: Simplify right side
    7,704.92x = 32,022,124.76
  5. Step 5: Solve for x
    x = 32,022,124.76/7,704.92
  6. Step 6: Final answer
    x = 4,156.06

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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.