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Finding the Fourth Proportional to 9,568.01, 13,213.94 and 8,524.40

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Solution

The fourth proportional to 9,568.01, 13,213.94 and 8,524.40 is: 11,772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.01 : 13,213.94 = 8,524.40 : x
  2. Step 2: Convert to fraction form
    9,568.01/13,213.94 = 8,524.40/x
  3. Step 3: Cross multiply
    9,568.01x = 13,213.94 × 8,524.40
  4. Step 4: Simplify right side
    9,568.01x = 112,640,910.14
  5. Step 5: Solve for x
    x = 112,640,910.14/9,568.01
  6. Step 6: Final answer
    x = 11,772.66

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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.