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Finding the Fourth Proportional to 8,467.86, 11,673.41 and 5,942.15

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Solution

The fourth proportional to 8,467.86, 11,673.41 and 5,942.15 is: 8,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.86 : 11,673.41 = 5,942.15 : x
  2. Step 2: Convert to fraction form
    8,467.86/11,673.41 = 5,942.15/x
  3. Step 3: Cross multiply
    8,467.86x = 11,673.41 × 5,942.15
  4. Step 4: Simplify right side
    8,467.86x = 69,365,065.15
  5. Step 5: Solve for x
    x = 69,365,065.15/8,467.86
  6. Step 6: Final answer
    x = 8,191.57

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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.