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Finding the Fourth Proportional to 9,797.36, 13,522.02 and 5,820.62

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Solution

The fourth proportional to 9,797.36, 13,522.02 and 5,820.62 is: 8,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.36 : 13,522.02 = 5,820.62 : x
  2. Step 2: Convert to fraction form
    9,797.36/13,522.02 = 5,820.62/x
  3. Step 3: Cross multiply
    9,797.36x = 13,522.02 × 5,820.62
  4. Step 4: Simplify right side
    9,797.36x = 78,706,540.05
  5. Step 5: Solve for x
    x = 78,706,540.05/9,797.36
  6. Step 6: Final answer
    x = 8,033.44

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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.