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Finding the Fourth Proportional to 9,797.91, 13,524.99 and 6,815.47

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Solution

The fourth proportional to 9,797.91, 13,524.99 and 6,815.47 is: 9,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.91 : 13,524.99 = 6,815.47 : x
  2. Step 2: Convert to fraction form
    9,797.91/13,524.99 = 6,815.47/x
  3. Step 3: Cross multiply
    9,797.91x = 13,524.99 × 6,815.47
  4. Step 4: Simplify right side
    9,797.91x = 92,179,163.60
  5. Step 5: Solve for x
    x = 92,179,163.60/9,797.91
  6. Step 6: Final answer
    x = 9,408.04

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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.