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Finding the Fourth Proportional to 6,773.40, 10,164.96 and 3,998.40

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Solution

The fourth proportional to 6,773.40, 10,164.96 and 3,998.40 is: 6,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.40 : 10,164.96 = 3,998.40 : x
  2. Step 2: Convert to fraction form
    6,773.40/10,164.96 = 3,998.40/x
  3. Step 3: Cross multiply
    6,773.40x = 10,164.96 × 3,998.40
  4. Step 4: Simplify right side
    6,773.40x = 40,643,576.06
  5. Step 5: Solve for x
    x = 40,643,576.06/6,773.40
  6. Step 6: Final answer
    x = 6,000.47

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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.