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Finding the Fourth Proportional to 6,164.57, 8,502.13 and 3,925.73

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Solution

The fourth proportional to 6,164.57, 8,502.13 and 3,925.73 is: 5,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.57 : 8,502.13 = 3,925.73 : x
  2. Step 2: Convert to fraction form
    6,164.57/8,502.13 = 3,925.73/x
  3. Step 3: Cross multiply
    6,164.57x = 8,502.13 × 3,925.73
  4. Step 4: Simplify right side
    6,164.57x = 33,377,066.80
  5. Step 5: Solve for x
    x = 33,377,066.80/6,164.57
  6. Step 6: Final answer
    x = 5,414.34

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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.