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Finding the Fourth Proportional to 6,151.44, 8,489.16 and 3,794.34

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Solution

The fourth proportional to 6,151.44, 8,489.16 and 3,794.34 is: 5,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.44 : 8,489.16 = 3,794.34 : x
  2. Step 2: Convert to fraction form
    6,151.44/8,489.16 = 3,794.34/x
  3. Step 3: Cross multiply
    6,151.44x = 8,489.16 × 3,794.34
  4. Step 4: Simplify right side
    6,151.44x = 32,210,759.35
  5. Step 5: Solve for x
    x = 32,210,759.35/6,151.44
  6. Step 6: Final answer
    x = 5,236.30

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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.