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Finding the Fourth Proportional to 6,102.91, 8,422.02 and 3,308.41

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Solution

The fourth proportional to 6,102.91, 8,422.02 and 3,308.41 is: 4,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.91 : 8,422.02 = 3,308.41 : x
  2. Step 2: Convert to fraction form
    6,102.91/8,422.02 = 3,308.41/x
  3. Step 3: Cross multiply
    6,102.91x = 8,422.02 × 3,308.41
  4. Step 4: Simplify right side
    6,102.91x = 27,863,495.19
  5. Step 5: Solve for x
    x = 27,863,495.19/6,102.91
  6. Step 6: Final answer
    x = 4,565.61

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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.