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Finding the Fourth Proportional to 15,745.74, 23,633.22 and 7,960.02

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Solution

The fourth proportional to 15,745.74, 23,633.22 and 7,960.02 is: 11,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.74 : 23,633.22 = 7,960.02 : x
  2. Step 2: Convert to fraction form
    15,745.74/23,633.22 = 7,960.02/x
  3. Step 3: Cross multiply
    15,745.74x = 23,633.22 × 7,960.02
  4. Step 4: Simplify right side
    15,745.74x = 188,120,903.86
  5. Step 5: Solve for x
    x = 188,120,903.86/15,745.74
  6. Step 6: Final answer
    x = 11,947.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.