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Finding the Fourth Proportional to 11,717.76, 17,561.16 and 7,022.64

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Solution

The fourth proportional to 11,717.76, 17,561.16 and 7,022.64 is: 10,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.76 : 17,561.16 = 7,022.64 : x
  2. Step 2: Convert to fraction form
    11,717.76/17,561.16 = 7,022.64/x
  3. Step 3: Cross multiply
    11,717.76x = 17,561.16 × 7,022.64
  4. Step 4: Simplify right side
    11,717.76x = 123,325,704.66
  5. Step 5: Solve for x
    x = 123,325,704.66/11,717.76
  6. Step 6: Final answer
    x = 10,524.68

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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.