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Finding the Fourth Proportional to 9,704.55, 13,391.91 and 5,934.03

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Solution

The fourth proportional to 9,704.55, 13,391.91 and 5,934.03 is: 8,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.55 : 13,391.91 = 5,934.03 : x
  2. Step 2: Convert to fraction form
    9,704.55/13,391.91 = 5,934.03/x
  3. Step 3: Cross multiply
    9,704.55x = 13,391.91 × 5,934.03
  4. Step 4: Simplify right side
    9,704.55x = 79,467,995.70
  5. Step 5: Solve for x
    x = 79,467,995.70/9,704.55
  6. Step 6: Final answer
    x = 8,188.74

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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.