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Finding the Fourth Proportional to 8,212.86, 11,333.97 and 5,026.10

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Solution

The fourth proportional to 8,212.86, 11,333.97 and 5,026.10 is: 6,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.86 : 11,333.97 = 5,026.10 : x
  2. Step 2: Convert to fraction form
    8,212.86/11,333.97 = 5,026.10/x
  3. Step 3: Cross multiply
    8,212.86x = 11,333.97 × 5,026.10
  4. Step 4: Simplify right side
    8,212.86x = 56,965,609.95
  5. Step 5: Solve for x
    x = 56,965,609.95/8,212.86
  6. Step 6: Final answer
    x = 6,936.15

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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.