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Finding the Fourth Proportional to 4,633.20, 6,949.80 and 4,114.80

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Solution

The fourth proportional to 4,633.20, 6,949.80 and 4,114.80 is: 6,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.20 : 6,949.80 = 4,114.80 : x
  2. Step 2: Convert to fraction form
    4,633.20/6,949.80 = 4,114.80/x
  3. Step 3: Cross multiply
    4,633.20x = 6,949.80 × 4,114.80
  4. Step 4: Simplify right side
    4,633.20x = 28,597,037.04
  5. Step 5: Solve for x
    x = 28,597,037.04/4,633.20
  6. Step 6: Final answer
    x = 6,172.20

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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.