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Finding the Fourth Proportional to 6,099.46, 9,149.52 and 1,716.56

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Solution

The fourth proportional to 6,099.46, 9,149.52 and 1,716.56 is: 2,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.46 : 9,149.52 = 1,716.56 : x
  2. Step 2: Convert to fraction form
    6,099.46/9,149.52 = 1,716.56/x
  3. Step 3: Cross multiply
    6,099.46x = 9,149.52 × 1,716.56
  4. Step 4: Simplify right side
    6,099.46x = 15,705,700.05
  5. Step 5: Solve for x
    x = 15,705,700.05/6,099.46
  6. Step 6: Final answer
    x = 2,574.93

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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.