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Finding the Fourth Proportional to 7,096.42, 9,793.07 and 4,112.83

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Solution

The fourth proportional to 7,096.42, 9,793.07 and 4,112.83 is: 5,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.42 : 9,793.07 = 4,112.83 : x
  2. Step 2: Convert to fraction form
    7,096.42/9,793.07 = 4,112.83/x
  3. Step 3: Cross multiply
    7,096.42x = 9,793.07 × 4,112.83
  4. Step 4: Simplify right side
    7,096.42x = 40,277,232.09
  5. Step 5: Solve for x
    x = 40,277,232.09/7,096.42
  6. Step 6: Final answer
    x = 5,675.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.