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Finding the Fourth Proportional to 6,733.71, 10,102.19 and 2,116.71

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Solution

The fourth proportional to 6,733.71, 10,102.19 and 2,116.71 is: 3,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.71 : 10,102.19 = 2,116.71 : x
  2. Step 2: Convert to fraction form
    6,733.71/10,102.19 = 2,116.71/x
  3. Step 3: Cross multiply
    6,733.71x = 10,102.19 × 2,116.71
  4. Step 4: Simplify right side
    6,733.71x = 21,383,396.01
  5. Step 5: Solve for x
    x = 21,383,396.01/6,733.71
  6. Step 6: Final answer
    x = 3,175.57

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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.