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Finding the Fourth Proportional to 10,659.92, 14,711 and 5,945.12

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Solution

The fourth proportional to 10,659.92, 14,711 and 5,945.12 is: 8,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.92 : 14,711 = 5,945.12 : x
  2. Step 2: Convert to fraction form
    10,659.92/14,711 = 5,945.12/x
  3. Step 3: Cross multiply
    10,659.92x = 14,711 × 5,945.12
  4. Step 4: Simplify right side
    10,659.92x = 87,458,660.32
  5. Step 5: Solve for x
    x = 87,458,660.32/10,659.92
  6. Step 6: Final answer
    x = 8,204.44

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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.