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Finding the Fourth Proportional to 8,266.86, 12,350.07 and 5,908.14

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Solution

The fourth proportional to 8,266.86, 12,350.07 and 5,908.14 is: 8,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.86 : 12,350.07 = 5,908.14 : x
  2. Step 2: Convert to fraction form
    8,266.86/12,350.07 = 5,908.14/x
  3. Step 3: Cross multiply
    8,266.86x = 12,350.07 × 5,908.14
  4. Step 4: Simplify right side
    8,266.86x = 72,965,942.57
  5. Step 5: Solve for x
    x = 72,965,942.57/8,266.86
  6. Step 6: Final answer
    x = 8,826.32

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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.