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Finding the Fourth Proportional to 12,704.03, 17,525.97 and 7,665.44

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Solution

The fourth proportional to 12,704.03, 17,525.97 and 7,665.44 is: 10,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.03 : 17,525.97 = 7,665.44 : x
  2. Step 2: Convert to fraction form
    12,704.03/17,525.97 = 7,665.44/x
  3. Step 3: Cross multiply
    12,704.03x = 17,525.97 × 7,665.44
  4. Step 4: Simplify right side
    12,704.03x = 134,344,183.85
  5. Step 5: Solve for x
    x = 134,344,183.85/12,704.03
  6. Step 6: Final answer
    x = 10,574.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.