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Finding the Fourth Proportional to 20,596.50, 30,895.97 and 6,745.50

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Solution

The fourth proportional to 20,596.50, 30,895.97 and 6,745.50 is: 10,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.50 : 30,895.97 = 6,745.50 : x
  2. Step 2: Convert to fraction form
    20,596.50/30,895.97 = 6,745.50/x
  3. Step 3: Cross multiply
    20,596.50x = 30,895.97 × 6,745.50
  4. Step 4: Simplify right side
    20,596.50x = 208,408,731.91
  5. Step 5: Solve for x
    x = 208,408,731.91/20,596.50
  6. Step 6: Final answer
    x = 10,118.65

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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.