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Finding the Fourth Proportional to 11,568.24, 15,971.97 and 7,596.09

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Solution

The fourth proportional to 11,568.24, 15,971.97 and 7,596.09 is: 10,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.24 : 15,971.97 = 7,596.09 : x
  2. Step 2: Convert to fraction form
    11,568.24/15,971.97 = 7,596.09/x
  3. Step 3: Cross multiply
    11,568.24x = 15,971.97 × 7,596.09
  4. Step 4: Simplify right side
    11,568.24x = 121,324,521.60
  5. Step 5: Solve for x
    x = 121,324,521.60/11,568.24
  6. Step 6: Final answer
    x = 10,487.73

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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.