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Finding the Fourth Proportional to 10,288.05, 14,198 and 6,039.30

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Solution

The fourth proportional to 10,288.05, 14,198 and 6,039.30 is: 8,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.05 : 14,198 = 6,039.30 : x
  2. Step 2: Convert to fraction form
    10,288.05/14,198 = 6,039.30/x
  3. Step 3: Cross multiply
    10,288.05x = 14,198 × 6,039.30
  4. Step 4: Simplify right side
    10,288.05x = 85,745,981.40
  5. Step 5: Solve for x
    x = 85,745,981.40/10,288.05
  6. Step 6: Final answer
    x = 8,334.52

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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.