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Finding the Fourth Proportional to 6,157.71, 9,236.57 and 1,540.71

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Solution

The fourth proportional to 6,157.71, 9,236.57 and 1,540.71 is: 2,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.71 : 9,236.57 = 1,540.71 : x
  2. Step 2: Convert to fraction form
    6,157.71/9,236.57 = 1,540.71/x
  3. Step 3: Cross multiply
    6,157.71x = 9,236.57 × 1,540.71
  4. Step 4: Simplify right side
    6,157.71x = 14,230,868.06
  5. Step 5: Solve for x
    x = 14,230,868.06/6,157.71
  6. Step 6: Final answer
    x = 2,311.07

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Similar ratio
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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.