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Finding the Fourth Proportional to 5,682.55, 7,841.11 and 3,164.31

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Solution

The fourth proportional to 5,682.55, 7,841.11 and 3,164.31 is: 4,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.55 : 7,841.11 = 3,164.31 : x
  2. Step 2: Convert to fraction form
    5,682.55/7,841.11 = 3,164.31/x
  3. Step 3: Cross multiply
    5,682.55x = 7,841.11 × 3,164.31
  4. Step 4: Simplify right side
    5,682.55x = 24,811,702.78
  5. Step 5: Solve for x
    x = 24,811,702.78/5,682.55
  6. Step 6: Final answer
    x = 4,366.30

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Half scale
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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.