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Finding the Fourth Proportional to 11,704.86, 17,524.80 and 9,112.86

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Solution

The fourth proportional to 11,704.86, 17,524.80 and 9,112.86 is: 13,643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.86 : 17,524.80 = 9,112.86 : x
  2. Step 2: Convert to fraction form
    11,704.86/17,524.80 = 9,112.86/x
  3. Step 3: Cross multiply
    11,704.86x = 17,524.80 × 9,112.86
  4. Step 4: Simplify right side
    11,704.86x = 159,701,048.93
  5. Step 5: Solve for x
    x = 159,701,048.93/11,704.86
  6. Step 6: Final answer
    x = 13,643.99

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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.