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Finding the Fourth Proportional to 6,166.88, 9,250.70 and 2,274

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Solution

The fourth proportional to 6,166.88, 9,250.70 and 2,274 is: 3,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.88 : 9,250.70 = 2,274 : x
  2. Step 2: Convert to fraction form
    6,166.88/9,250.70 = 2,274/x
  3. Step 3: Cross multiply
    6,166.88x = 9,250.70 × 2,274
  4. Step 4: Simplify right side
    6,166.88x = 21,036,091.80
  5. Step 5: Solve for x
    x = 21,036,091.80/6,166.88
  6. Step 6: Final answer
    x = 3,411.14

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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.