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Finding the Fourth Proportional to 4,974.68, 7,453.20 and 4,158.20

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Solution

The fourth proportional to 4,974.68, 7,453.20 and 4,158.20 is: 6,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.68 : 7,453.20 = 4,158.20 : x
  2. Step 2: Convert to fraction form
    4,974.68/7,453.20 = 4,158.20/x
  3. Step 3: Cross multiply
    4,974.68x = 7,453.20 × 4,158.20
  4. Step 4: Simplify right side
    4,974.68x = 30,991,896.24
  5. Step 5: Solve for x
    x = 30,991,896.24/4,974.68
  6. Step 6: Final answer
    x = 6,229.93

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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.