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Finding the Fourth Proportional to 6,522.86, 9,778.14 and 2,137.92

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Solution

The fourth proportional to 6,522.86, 9,778.14 and 2,137.92 is: 3,204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.86 : 9,778.14 = 2,137.92 : x
  2. Step 2: Convert to fraction form
    6,522.86/9,778.14 = 2,137.92/x
  3. Step 3: Cross multiply
    6,522.86x = 9,778.14 × 2,137.92
  4. Step 4: Simplify right side
    6,522.86x = 20,904,881.07
  5. Step 5: Solve for x
    x = 20,904,881.07/6,522.86
  6. Step 6: Final answer
    x = 3,204.87

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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.