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Finding the Fourth Proportional to 9,600.68, 13,255.07 and 9,134.58

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Solution

The fourth proportional to 9,600.68, 13,255.07 and 9,134.58 is: 12,611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.68 : 13,255.07 = 9,134.58 : x
  2. Step 2: Convert to fraction form
    9,600.68/13,255.07 = 9,134.58/x
  3. Step 3: Cross multiply
    9,600.68x = 13,255.07 × 9,134.58
  4. Step 4: Simplify right side
    9,600.68x = 121,079,497.32
  5. Step 5: Solve for x
    x = 121,079,497.32/9,600.68
  6. Step 6: Final answer
    x = 12,611.55

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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.