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Finding the Fourth Proportional to 6,883.12, 9,498.22 and 3,899.24

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Solution

The fourth proportional to 6,883.12, 9,498.22 and 3,899.24 is: 5,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.12 : 9,498.22 = 3,899.24 : x
  2. Step 2: Convert to fraction form
    6,883.12/9,498.22 = 3,899.24/x
  3. Step 3: Cross multiply
    6,883.12x = 9,498.22 × 3,899.24
  4. Step 4: Simplify right side
    6,883.12x = 37,035,839.35
  5. Step 5: Solve for x
    x = 37,035,839.35/6,883.12
  6. Step 6: Final answer
    x = 5,380.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.