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Finding the Fourth Proportional to 8,494.92, 11,723.22 and 4,717.98

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Solution

The fourth proportional to 8,494.92, 11,723.22 and 4,717.98 is: 6,510.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.92 : 11,723.22 = 4,717.98 : x
  2. Step 2: Convert to fraction form
    8,494.92/11,723.22 = 4,717.98/x
  3. Step 3: Cross multiply
    8,494.92x = 11,723.22 × 4,717.98
  4. Step 4: Simplify right side
    8,494.92x = 55,309,917.50
  5. Step 5: Solve for x
    x = 55,309,917.50/8,494.92
  6. Step 6: Final answer
    x = 6,510.94

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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.