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Finding the Fourth Proportional to 9,737.42, 14,604.74 and 3,163.68

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Solution

The fourth proportional to 9,737.42, 14,604.74 and 3,163.68 is: 4,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.42 : 14,604.74 = 3,163.68 : x
  2. Step 2: Convert to fraction form
    9,737.42/14,604.74 = 3,163.68/x
  3. Step 3: Cross multiply
    9,737.42x = 14,604.74 × 3,163.68
  4. Step 4: Simplify right side
    9,737.42x = 46,204,723.84
  5. Step 5: Solve for x
    x = 46,204,723.84/9,737.42
  6. Step 6: Final answer
    x = 4,745.07

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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.