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Finding the Fourth Proportional to 6,274, 9,411 and 2,170

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Solution

The fourth proportional to 6,274, 9,411 and 2,170 is: 3,255

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274 : 9,411 = 2,170 : x
  2. Step 2: Convert to fraction form
    6,274/9,411 = 2,170/x
  3. Step 3: Cross multiply
    6,274x = 9,411 × 2,170
  4. Step 4: Simplify right side
    6,274x = 20,421,870
  5. Step 5: Solve for x
    x = 20,421,870/6,274
  6. Step 6: Final answer
    x = 3,255

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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.