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Finding the Fourth Proportional to 3,914.84, 5,872.24 and 993.13

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Solution

The fourth proportional to 3,914.84, 5,872.24 and 993.13 is: 1,489.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.84 : 5,872.24 = 993.13 : x
  2. Step 2: Convert to fraction form
    3,914.84/5,872.24 = 993.13/x
  3. Step 3: Cross multiply
    3,914.84x = 5,872.24 × 993.13
  4. Step 4: Simplify right side
    3,914.84x = 5,831,906.29
  5. Step 5: Solve for x
    x = 5,831,906.29/3,914.84
  6. Step 6: Final answer
    x = 1,489.69

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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.