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Finding the Fourth Proportional to 6,361.84, 9,542.84 and 1,979.20

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Solution

The fourth proportional to 6,361.84, 9,542.84 and 1,979.20 is: 2,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.84 : 9,542.84 = 1,979.20 : x
  2. Step 2: Convert to fraction form
    6,361.84/9,542.84 = 1,979.20/x
  3. Step 3: Cross multiply
    6,361.84x = 9,542.84 × 1,979.20
  4. Step 4: Simplify right side
    6,361.84x = 18,887,188.93
  5. Step 5: Solve for x
    x = 18,887,188.93/6,361.84
  6. Step 6: Final answer
    x = 2,968.82

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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.