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Finding the Fourth Proportional to 4,206.87, 6,310.31 and 4,200.80

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Solution

The fourth proportional to 4,206.87, 6,310.31 and 4,200.80 is: 6,301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.87 : 6,310.31 = 4,200.80 : x
  2. Step 2: Convert to fraction form
    4,206.87/6,310.31 = 4,200.80/x
  3. Step 3: Cross multiply
    4,206.87x = 6,310.31 × 4,200.80
  4. Step 4: Simplify right side
    4,206.87x = 26,508,297.69
  5. Step 5: Solve for x
    x = 26,508,297.69/4,206.87
  6. Step 6: Final answer
    x = 6,301.19

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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.