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Finding the Fourth Proportional to 6,164.59, 8,506.96 and 3,512.85

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Solution

The fourth proportional to 6,164.59, 8,506.96 and 3,512.85 is: 4,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.59 : 8,506.96 = 3,512.85 : x
  2. Step 2: Convert to fraction form
    6,164.59/8,506.96 = 3,512.85/x
  3. Step 3: Cross multiply
    6,164.59x = 8,506.96 × 3,512.85
  4. Step 4: Simplify right side
    6,164.59x = 29,883,674.44
  5. Step 5: Solve for x
    x = 29,883,674.44/6,164.59
  6. Step 6: Final answer
    x = 4,847.63

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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.