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Finding the Fourth Proportional to 6,105.96, 9,157.89 and 1,722.39

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Solution

The fourth proportional to 6,105.96, 9,157.89 and 1,722.39 is: 2,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.96 : 9,157.89 = 1,722.39 : x
  2. Step 2: Convert to fraction form
    6,105.96/9,157.89 = 1,722.39/x
  3. Step 3: Cross multiply
    6,105.96x = 9,157.89 × 1,722.39
  4. Step 4: Simplify right side
    6,105.96x = 15,773,458.16
  5. Step 5: Solve for x
    x = 15,773,458.16/6,105.96
  6. Step 6: Final answer
    x = 2,583.29

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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.