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Finding the Fourth Proportional to 11,704.64, 17,570.46 and 9,247.64

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Solution

The fourth proportional to 11,704.64, 17,570.46 and 9,247.64 is: 13,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.64 : 17,570.46 = 9,247.64 : x
  2. Step 2: Convert to fraction form
    11,704.64/17,570.46 = 9,247.64/x
  3. Step 3: Cross multiply
    11,704.64x = 17,570.46 × 9,247.64
  4. Step 4: Simplify right side
    11,704.64x = 162,485,288.71
  5. Step 5: Solve for x
    x = 162,485,288.71/11,704.64
  6. Step 6: Final answer
    x = 13,882.13

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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.