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Finding the Fourth Proportional to 6,157.49, 9,237.70 and 1,997.50

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Solution

The fourth proportional to 6,157.49, 9,237.70 and 1,997.50 is: 2,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.49 : 9,237.70 = 1,997.50 : x
  2. Step 2: Convert to fraction form
    6,157.49/9,237.70 = 1,997.50/x
  3. Step 3: Cross multiply
    6,157.49x = 9,237.70 × 1,997.50
  4. Step 4: Simplify right side
    6,157.49x = 18,452,305.75
  5. Step 5: Solve for x
    x = 18,452,305.75/6,157.49
  6. Step 6: Final answer
    x = 2,996.73

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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.