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Finding the Fourth Proportional to 6,361.83, 9,542.21 and 1,978.88

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Solution

The fourth proportional to 6,361.83, 9,542.21 and 1,978.88 is: 2,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.83 : 9,542.21 = 1,978.88 : x
  2. Step 2: Convert to fraction form
    6,361.83/9,542.21 = 1,978.88/x
  3. Step 3: Cross multiply
    6,361.83x = 9,542.21 × 1,978.88
  4. Step 4: Simplify right side
    6,361.83x = 18,882,830.92
  5. Step 5: Solve for x
    x = 18,882,830.92/6,361.83
  6. Step 6: Final answer
    x = 2,968.14

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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.