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Finding the Fourth Proportional to 6,677.40, 10,014.30 and 1,997.40

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Solution

The fourth proportional to 6,677.40, 10,014.30 and 1,997.40 is: 2,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.40 : 10,014.30 = 1,997.40 : x
  2. Step 2: Convert to fraction form
    6,677.40/10,014.30 = 1,997.40/x
  3. Step 3: Cross multiply
    6,677.40x = 10,014.30 × 1,997.40
  4. Step 4: Simplify right side
    6,677.40x = 20,002,562.82
  5. Step 5: Solve for x
    x = 20,002,562.82/6,677.40
  6. Step 6: Final answer
    x = 2,995.56

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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.