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Finding the Fourth Proportional to 4,165.42, 6,251.22 and 1,974.15

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Solution

The fourth proportional to 4,165.42, 6,251.22 and 1,974.15 is: 2,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.42 : 6,251.22 = 1,974.15 : x
  2. Step 2: Convert to fraction form
    4,165.42/6,251.22 = 1,974.15/x
  3. Step 3: Cross multiply
    4,165.42x = 6,251.22 × 1,974.15
  4. Step 4: Simplify right side
    4,165.42x = 12,340,836.09
  5. Step 5: Solve for x
    x = 12,340,836.09/4,165.42
  6. Step 6: Final answer
    x = 2,962.69

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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.