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Finding the Fourth Proportional to 10,789.92, 14,889.08 and 7,958.84

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Solution

The fourth proportional to 10,789.92, 14,889.08 and 7,958.84 is: 10,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789.92 : 14,889.08 = 7,958.84 : x
  2. Step 2: Convert to fraction form
    10,789.92/14,889.08 = 7,958.84/x
  3. Step 3: Cross multiply
    10,789.92x = 14,889.08 × 7,958.84
  4. Step 4: Simplify right side
    10,789.92x = 118,499,691.23
  5. Step 5: Solve for x
    x = 118,499,691.23/10,789.92
  6. Step 6: Final answer
    x = 10,982.44

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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.