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Finding the Fourth Proportional to 6,096.86, 9,139.94 and 2,932.71

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Solution

The fourth proportional to 6,096.86, 9,139.94 and 2,932.71 is: 4,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.86 : 9,139.94 = 2,932.71 : x
  2. Step 2: Convert to fraction form
    6,096.86/9,139.94 = 2,932.71/x
  3. Step 3: Cross multiply
    6,096.86x = 9,139.94 × 2,932.71
  4. Step 4: Simplify right side
    6,096.86x = 26,804,793.44
  5. Step 5: Solve for x
    x = 26,804,793.44/6,096.86
  6. Step 6: Final answer
    x = 4,396.49

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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.