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Finding the Fourth Proportional to 8,471.92, 11,690.34 and 4,694.68

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Solution

The fourth proportional to 8,471.92, 11,690.34 and 4,694.68 is: 6,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.92 : 11,690.34 = 4,694.68 : x
  2. Step 2: Convert to fraction form
    8,471.92/11,690.34 = 4,694.68/x
  3. Step 3: Cross multiply
    8,471.92x = 11,690.34 × 4,694.68
  4. Step 4: Simplify right side
    8,471.92x = 54,882,405.39
  5. Step 5: Solve for x
    x = 54,882,405.39/8,471.92
  6. Step 6: Final answer
    x = 6,478.15

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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.