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Finding the Fourth Proportional to 6,141.96, 9,213.54 and 1,982.04

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Solution

The fourth proportional to 6,141.96, 9,213.54 and 1,982.04 is: 2,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.96 : 9,213.54 = 1,982.04 : x
  2. Step 2: Convert to fraction form
    6,141.96/9,213.54 = 1,982.04/x
  3. Step 3: Cross multiply
    6,141.96x = 9,213.54 × 1,982.04
  4. Step 4: Simplify right side
    6,141.96x = 18,261,604.82
  5. Step 5: Solve for x
    x = 18,261,604.82/6,141.96
  6. Step 6: Final answer
    x = 2,973.25

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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.