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Finding the Fourth Proportional to 6,733, 10,100.04 and 2,116

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Solution

The fourth proportional to 6,733, 10,100.04 and 2,116 is: 3,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733 : 10,100.04 = 2,116 : x
  2. Step 2: Convert to fraction form
    6,733/10,100.04 = 2,116/x
  3. Step 3: Cross multiply
    6,733x = 10,100.04 × 2,116
  4. Step 4: Simplify right side
    6,733x = 21,371,684.64
  5. Step 5: Solve for x
    x = 21,371,684.64/6,733
  6. Step 6: Final answer
    x = 3,174.17

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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.