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Finding the Fourth Proportional to 23,794.60, 35,708.34 and 8,212.28

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Solution

The fourth proportional to 23,794.60, 35,708.34 and 8,212.28 is: 12,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.60 : 35,708.34 = 8,212.28 : x
  2. Step 2: Convert to fraction form
    23,794.60/35,708.34 = 8,212.28/x
  3. Step 3: Cross multiply
    23,794.60x = 35,708.34 × 8,212.28
  4. Step 4: Simplify right side
    23,794.60x = 293,246,886.42
  5. Step 5: Solve for x
    x = 293,246,886.42/23,794.60
  6. Step 6: Final answer
    x = 12,324.09

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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.