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Finding the Fourth Proportional to 4,794.88, 7,200 and 4,487.68

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Solution

The fourth proportional to 4,794.88, 7,200 and 4,487.68 is: 6,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794.88 : 7,200 = 4,487.68 : x
  2. Step 2: Convert to fraction form
    4,794.88/7,200 = 4,487.68/x
  3. Step 3: Cross multiply
    4,794.88x = 7,200 × 4,487.68
  4. Step 4: Simplify right side
    4,794.88x = 32,311,296.00
  5. Step 5: Solve for x
    x = 32,311,296.00/4,794.88
  6. Step 6: Final answer
    x = 6,738.71

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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.