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Finding the Fourth Proportional to 7,892.40, 11,838.14 and 2,961.62

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Solution

The fourth proportional to 7,892.40, 11,838.14 and 2,961.62 is: 4,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.40 : 11,838.14 = 2,961.62 : x
  2. Step 2: Convert to fraction form
    7,892.40/11,838.14 = 2,961.62/x
  3. Step 3: Cross multiply
    7,892.40x = 11,838.14 × 2,961.62
  4. Step 4: Simplify right side
    7,892.40x = 35,060,086.97
  5. Step 5: Solve for x
    x = 35,060,086.97/7,892.40
  6. Step 6: Final answer
    x = 4,442.26

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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.