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Finding the Fourth Proportional to 6,154.94, 8,493.82 and 3,797.08

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Solution

The fourth proportional to 6,154.94, 8,493.82 and 3,797.08 is: 5,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.94 : 8,493.82 = 3,797.08 : x
  2. Step 2: Convert to fraction form
    6,154.94/8,493.82 = 3,797.08/x
  3. Step 3: Cross multiply
    6,154.94x = 8,493.82 × 3,797.08
  4. Step 4: Simplify right side
    6,154.94x = 32,251,714.05
  5. Step 5: Solve for x
    x = 32,251,714.05/6,154.94
  6. Step 6: Final answer
    x = 5,239.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.