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Finding the Fourth Proportional to 11,704.74, 17,544.92 and 7,490.96

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Solution

The fourth proportional to 11,704.74, 17,544.92 and 7,490.96 is: 11,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.74 : 17,544.92 = 7,490.96 : x
  2. Step 2: Convert to fraction form
    11,704.74/17,544.92 = 7,490.96/x
  3. Step 3: Cross multiply
    11,704.74x = 17,544.92 × 7,490.96
  4. Step 4: Simplify right side
    11,704.74x = 131,428,293.92
  5. Step 5: Solve for x
    x = 131,428,293.92/11,704.74
  6. Step 6: Final answer
    x = 11,228.64

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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.