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Finding the Fourth Proportional to 11,497.92, 17,238.11 and 5,947.76

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Solution

The fourth proportional to 11,497.92, 17,238.11 and 5,947.76 is: 8,917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.92 : 17,238.11 = 5,947.76 : x
  2. Step 2: Convert to fraction form
    11,497.92/17,238.11 = 5,947.76/x
  3. Step 3: Cross multiply
    11,497.92x = 17,238.11 × 5,947.76
  4. Step 4: Simplify right side
    11,497.92x = 102,528,025.20
  5. Step 5: Solve for x
    x = 102,528,025.20/11,497.92
  6. Step 6: Final answer
    x = 8,917.09

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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.