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Finding the Fourth Proportional to 4,199.99, 6,300.68 and 1,426.91

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Solution

The fourth proportional to 4,199.99, 6,300.68 and 1,426.91 is: 2,140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.99 : 6,300.68 = 1,426.91 : x
  2. Step 2: Convert to fraction form
    4,199.99/6,300.68 = 1,426.91/x
  3. Step 3: Cross multiply
    4,199.99x = 6,300.68 × 1,426.91
  4. Step 4: Simplify right side
    4,199.99x = 8,990,464.66
  5. Step 5: Solve for x
    x = 8,990,464.66/4,199.99
  6. Step 6: Final answer
    x = 2,140.59

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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.