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Finding the Fourth Proportional to 6,116, 9,174 and 3,380

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Solution

The fourth proportional to 6,116, 9,174 and 3,380 is: 5,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116 : 9,174 = 3,380 : x
  2. Step 2: Convert to fraction form
    6,116/9,174 = 3,380/x
  3. Step 3: Cross multiply
    6,116x = 9,174 × 3,380
  4. Step 4: Simplify right side
    6,116x = 31,008,120
  5. Step 5: Solve for x
    x = 31,008,120/6,116
  6. Step 6: Final answer
    x = 5,070

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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.