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Finding the Fourth Proportional to 7,906.83, 10,886.45 and 6,961.97

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Solution

The fourth proportional to 7,906.83, 10,886.45 and 6,961.97 is: 9,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.83 : 10,886.45 = 6,961.97 : x
  2. Step 2: Convert to fraction form
    7,906.83/10,886.45 = 6,961.97/x
  3. Step 3: Cross multiply
    7,906.83x = 10,886.45 × 6,961.97
  4. Step 4: Simplify right side
    7,906.83x = 75,791,049.06
  5. Step 5: Solve for x
    x = 75,791,049.06/7,906.83
  6. Step 6: Final answer
    x = 9,585.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.