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Finding the Fourth Proportional to 9,694.92, 13,378.63 and 5,924.39

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Solution

The fourth proportional to 9,694.92, 13,378.63 and 5,924.39 is: 8,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.92 : 13,378.63 = 5,924.39 : x
  2. Step 2: Convert to fraction form
    9,694.92/13,378.63 = 5,924.39/x
  3. Step 3: Cross multiply
    9,694.92x = 13,378.63 × 5,924.39
  4. Step 4: Simplify right side
    9,694.92x = 79,260,192.16
  5. Step 5: Solve for x
    x = 79,260,192.16/9,694.92
  6. Step 6: Final answer
    x = 8,175.44

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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.