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Finding the Fourth Proportional to 6,876, 9,491.34 and 4,081.50

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Solution

The fourth proportional to 6,876, 9,491.34 and 4,081.50 is: 5,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876 : 9,491.34 = 4,081.50 : x
  2. Step 2: Convert to fraction form
    6,876/9,491.34 = 4,081.50/x
  3. Step 3: Cross multiply
    6,876x = 9,491.34 × 4,081.50
  4. Step 4: Simplify right side
    6,876x = 38,738,904.21
  5. Step 5: Solve for x
    x = 38,738,904.21/6,876
  6. Step 6: Final answer
    x = 5,633.93

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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.