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Finding the Fourth Proportional to 6,068.88, 9,105.50 and 2,120.71

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Solution

The fourth proportional to 6,068.88, 9,105.50 and 2,120.71 is: 3,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,068.88 : 9,105.50 = 2,120.71 : x
  2. Step 2: Convert to fraction form
    6,068.88/9,105.50 = 2,120.71/x
  3. Step 3: Cross multiply
    6,068.88x = 9,105.50 × 2,120.71
  4. Step 4: Simplify right side
    6,068.88x = 19,310,124.91
  5. Step 5: Solve for x
    x = 19,310,124.91/6,068.88
  6. Step 6: Final answer
    x = 3,181.83

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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.