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Finding the Fourth Proportional to 6,361.43, 9,543.08 and 3,401.42

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Solution

The fourth proportional to 6,361.43, 9,543.08 and 3,401.42 is: 5,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.43 : 9,543.08 = 3,401.42 : x
  2. Step 2: Convert to fraction form
    6,361.43/9,543.08 = 3,401.42/x
  3. Step 3: Cross multiply
    6,361.43x = 9,543.08 × 3,401.42
  4. Step 4: Simplify right side
    6,361.43x = 32,459,983.96
  5. Step 5: Solve for x
    x = 32,459,983.96/6,361.43
  6. Step 6: Final answer
    x = 5,102.63

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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.