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Finding the Fourth Proportional to 4,975.80, 7,463.70 and 4,198.20

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Solution

The fourth proportional to 4,975.80, 7,463.70 and 4,198.20 is: 6,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.80 : 7,463.70 = 4,198.20 : x
  2. Step 2: Convert to fraction form
    4,975.80/7,463.70 = 4,198.20/x
  3. Step 3: Cross multiply
    4,975.80x = 7,463.70 × 4,198.20
  4. Step 4: Simplify right side
    4,975.80x = 31,334,105.34
  5. Step 5: Solve for x
    x = 31,334,105.34/4,975.80
  6. Step 6: Final answer
    x = 6,297.30

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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.