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Finding the Fourth Proportional to 4,109, 6,166.02 and 1,512.14

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Solution

The fourth proportional to 4,109, 6,166.02 and 1,512.14 is: 2,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109 : 6,166.02 = 1,512.14 : x
  2. Step 2: Convert to fraction form
    4,109/6,166.02 = 1,512.14/x
  3. Step 3: Cross multiply
    4,109x = 6,166.02 × 1,512.14
  4. Step 4: Simplify right side
    4,109x = 9,323,885.48
  5. Step 5: Solve for x
    x = 9,323,885.48/4,109
  6. Step 6: Final answer
    x = 2,269.14

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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.