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Finding the Fourth Proportional to 6,496.95, 9,745.43 and 3,721.70

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Solution

The fourth proportional to 6,496.95, 9,745.43 and 3,721.70 is: 5,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.95 : 9,745.43 = 3,721.70 : x
  2. Step 2: Convert to fraction form
    6,496.95/9,745.43 = 3,721.70/x
  3. Step 3: Cross multiply
    6,496.95x = 9,745.43 × 3,721.70
  4. Step 4: Simplify right side
    6,496.95x = 36,269,499.50
  5. Step 5: Solve for x
    x = 36,269,499.50/6,496.95
  6. Step 6: Final answer
    x = 5,582.54

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Similar ratio
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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.