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Finding the Fourth Proportional to 7,773.27, 11,600.21 and 6,942.81

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Solution

The fourth proportional to 7,773.27, 11,600.21 and 6,942.81 is: 10,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.27 : 11,600.21 = 6,942.81 : x
  2. Step 2: Convert to fraction form
    7,773.27/11,600.21 = 6,942.81/x
  3. Step 3: Cross multiply
    7,773.27x = 11,600.21 × 6,942.81
  4. Step 4: Simplify right side
    7,773.27x = 80,538,114.85
  5. Step 5: Solve for x
    x = 80,538,114.85/7,773.27
  6. Step 6: Final answer
    x = 10,360.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.