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Finding the Fourth Proportional to 6,746, 10,119 and 2,129

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Solution

The fourth proportional to 6,746, 10,119 and 2,129 is: 3,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746 : 10,119 = 2,129 : x
  2. Step 2: Convert to fraction form
    6,746/10,119 = 2,129/x
  3. Step 3: Cross multiply
    6,746x = 10,119 × 2,129
  4. Step 4: Simplify right side
    6,746x = 21,543,351
  5. Step 5: Solve for x
    x = 21,543,351/6,746
  6. Step 6: Final answer
    x = 3,193.50

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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.