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Finding the Fourth Proportional to 6,157.58, 9,236.46 and 1,540.58

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Solution

The fourth proportional to 6,157.58, 9,236.46 and 1,540.58 is: 2,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.58 : 9,236.46 = 1,540.58 : x
  2. Step 2: Convert to fraction form
    6,157.58/9,236.46 = 1,540.58/x
  3. Step 3: Cross multiply
    6,157.58x = 9,236.46 × 1,540.58
  4. Step 4: Simplify right side
    6,157.58x = 14,229,505.55
  5. Step 5: Solve for x
    x = 14,229,505.55/6,157.58
  6. Step 6: Final answer
    x = 2,310.89

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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.