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Finding the Fourth Proportional to 6,199.53, 9,299.11 and 1,519.56

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Solution

The fourth proportional to 6,199.53, 9,299.11 and 1,519.56 is: 2,279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.53 : 9,299.11 = 1,519.56 : x
  2. Step 2: Convert to fraction form
    6,199.53/9,299.11 = 1,519.56/x
  3. Step 3: Cross multiply
    6,199.53x = 9,299.11 × 1,519.56
  4. Step 4: Simplify right side
    6,199.53x = 14,130,516.92
  5. Step 5: Solve for x
    x = 14,130,516.92/6,199.53
  6. Step 6: Final answer
    x = 2,279.29

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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.