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Finding the Fourth Proportional to 11,698.92, 17,546.49 and 4,301.55

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Solution

The fourth proportional to 11,698.92, 17,546.49 and 4,301.55 is: 6,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.92 : 17,546.49 = 4,301.55 : x
  2. Step 2: Convert to fraction form
    11,698.92/17,546.49 = 4,301.55/x
  3. Step 3: Cross multiply
    11,698.92x = 17,546.49 × 4,301.55
  4. Step 4: Simplify right side
    11,698.92x = 75,477,104.06
  5. Step 5: Solve for x
    x = 75,477,104.06/11,698.92
  6. Step 6: Final answer
    x = 6,451.63

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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.