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Finding the Fourth Proportional to 7,937.64, 11,896.74 and 2,737.44

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Solution

The fourth proportional to 7,937.64, 11,896.74 and 2,737.44 is: 4,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.64 : 11,896.74 = 2,737.44 : x
  2. Step 2: Convert to fraction form
    7,937.64/11,896.74 = 2,737.44/x
  3. Step 3: Cross multiply
    7,937.64x = 11,896.74 × 2,737.44
  4. Step 4: Simplify right side
    7,937.64x = 32,566,611.95
  5. Step 5: Solve for x
    x = 32,566,611.95/7,937.64
  6. Step 6: Final answer
    x = 4,102.81

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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.