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Finding the Fourth Proportional to 9,811.97, 13,540.22 and 5,563.42

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Solution

The fourth proportional to 9,811.97, 13,540.22 and 5,563.42 is: 7,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.97 : 13,540.22 = 5,563.42 : x
  2. Step 2: Convert to fraction form
    9,811.97/13,540.22 = 5,563.42/x
  3. Step 3: Cross multiply
    9,811.97x = 13,540.22 × 5,563.42
  4. Step 4: Simplify right side
    9,811.97x = 75,329,863.05
  5. Step 5: Solve for x
    x = 75,329,863.05/9,811.97
  6. Step 6: Final answer
    x = 7,677.35

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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.