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Finding the Fourth Proportional to 7,967.72, 11,943.42 and 2,770.76

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Solution

The fourth proportional to 7,967.72, 11,943.42 and 2,770.76 is: 4,153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.72 : 11,943.42 = 2,770.76 : x
  2. Step 2: Convert to fraction form
    7,967.72/11,943.42 = 2,770.76/x
  3. Step 3: Cross multiply
    7,967.72x = 11,943.42 × 2,770.76
  4. Step 4: Simplify right side
    7,967.72x = 33,092,350.40
  5. Step 5: Solve for x
    x = 33,092,350.40/7,967.72
  6. Step 6: Final answer
    x = 4,153.30

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1.5x scale

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.