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Finding the Fourth Proportional to 11,701.92, 17,523.84 and 11,168.64

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Solution

The fourth proportional to 11,701.92, 17,523.84 and 11,168.64 is: 16,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.92 : 17,523.84 = 11,168.64 : x
  2. Step 2: Convert to fraction form
    11,701.92/17,523.84 = 11,168.64/x
  3. Step 3: Cross multiply
    11,701.92x = 17,523.84 × 11,168.64
  4. Step 4: Simplify right side
    11,701.92x = 195,717,460.38
  5. Step 5: Solve for x
    x = 195,717,460.38/11,701.92
  6. Step 6: Final answer
    x = 16,725.24

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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.