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Finding the Fourth Proportional to 6,855.86, 10,234.15 and 6,025.49

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Solution

The fourth proportional to 6,855.86, 10,234.15 and 6,025.49 is: 8,994.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.86 : 10,234.15 = 6,025.49 : x
  2. Step 2: Convert to fraction form
    6,855.86/10,234.15 = 6,025.49/x
  3. Step 3: Cross multiply
    6,855.86x = 10,234.15 × 6,025.49
  4. Step 4: Simplify right side
    6,855.86x = 61,665,768.48
  5. Step 5: Solve for x
    x = 61,665,768.48/6,855.86
  6. Step 6: Final answer
    x = 8,994.61

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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.