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Finding the Fourth Proportional to 11,524.68, 17,284.84 and 4,128.84

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Solution

The fourth proportional to 11,524.68, 17,284.84 and 4,128.84 is: 6,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.68 : 17,284.84 = 4,128.84 : x
  2. Step 2: Convert to fraction form
    11,524.68/17,284.84 = 4,128.84/x
  3. Step 3: Cross multiply
    11,524.68x = 17,284.84 × 4,128.84
  4. Step 4: Simplify right side
    11,524.68x = 71,366,338.79
  5. Step 5: Solve for x
    x = 71,366,338.79/11,524.68
  6. Step 6: Final answer
    x = 6,192.48

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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.