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Finding the Fourth Proportional to 9,600.62, 13,244.13 and 8,272.01

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Solution

The fourth proportional to 9,600.62, 13,244.13 and 8,272.01 is: 11,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.62 : 13,244.13 = 8,272.01 : x
  2. Step 2: Convert to fraction form
    9,600.62/13,244.13 = 8,272.01/x
  3. Step 3: Cross multiply
    9,600.62x = 13,244.13 × 8,272.01
  4. Step 4: Simplify right side
    9,600.62x = 109,555,608.91
  5. Step 5: Solve for x
    x = 109,555,608.91/9,600.62
  6. Step 6: Final answer
    x = 11,411.31

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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.