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Finding the Fourth Proportional to 12,950.52, 19,425.76 and 5,157.52

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Solution

The fourth proportional to 12,950.52, 19,425.76 and 5,157.52 is: 7,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.52 : 19,425.76 = 5,157.52 : x
  2. Step 2: Convert to fraction form
    12,950.52/19,425.76 = 5,157.52/x
  3. Step 3: Cross multiply
    12,950.52x = 19,425.76 × 5,157.52
  4. Step 4: Simplify right side
    12,950.52x = 100,188,745.72
  5. Step 5: Solve for x
    x = 100,188,745.72/12,950.52
  6. Step 6: Final answer
    x = 7,736.27

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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.