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Finding the Fourth Proportional to 4,509.67, 6,759.46 and 3,213.67

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Solution

The fourth proportional to 4,509.67, 6,759.46 and 3,213.67 is: 4,816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.67 : 6,759.46 = 3,213.67 : x
  2. Step 2: Convert to fraction form
    4,509.67/6,759.46 = 3,213.67/x
  3. Step 3: Cross multiply
    4,509.67x = 6,759.46 × 3,213.67
  4. Step 4: Simplify right side
    4,509.67x = 21,722,673.82
  5. Step 5: Solve for x
    x = 21,722,673.82/4,509.67
  6. Step 6: Final answer
    x = 4,816.91

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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.