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Finding the Fourth Proportional to 9,569.11, 13,204.48 and 8,863.80

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Solution

The fourth proportional to 9,569.11, 13,204.48 and 8,863.80 is: 12,231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.11 : 13,204.48 = 8,863.80 : x
  2. Step 2: Convert to fraction form
    9,569.11/13,204.48 = 8,863.80/x
  3. Step 3: Cross multiply
    9,569.11x = 13,204.48 × 8,863.80
  4. Step 4: Simplify right side
    9,569.11x = 117,041,847.66
  5. Step 5: Solve for x
    x = 117,041,847.66/9,569.11
  6. Step 6: Final answer
    x = 12,231.22

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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.