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Finding the Fourth Proportional to 7,334.75, 11,002.14 and 3,230.75

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Solution

The fourth proportional to 7,334.75, 11,002.14 and 3,230.75 is: 4,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.75 : 11,002.14 = 3,230.75 : x
  2. Step 2: Convert to fraction form
    7,334.75/11,002.14 = 3,230.75/x
  3. Step 3: Cross multiply
    7,334.75x = 11,002.14 × 3,230.75
  4. Step 4: Simplify right side
    7,334.75x = 35,545,163.81
  5. Step 5: Solve for x
    x = 35,545,163.81/7,334.75
  6. Step 6: Final answer
    x = 4,846.13

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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.