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Finding the Fourth Proportional to 6,336.54, 8,746.29 and 3,684.96

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Solution

The fourth proportional to 6,336.54, 8,746.29 and 3,684.96 is: 5,086.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.54 : 8,746.29 = 3,684.96 : x
  2. Step 2: Convert to fraction form
    6,336.54/8,746.29 = 3,684.96/x
  3. Step 3: Cross multiply
    6,336.54x = 8,746.29 × 3,684.96
  4. Step 4: Simplify right side
    6,336.54x = 32,229,728.80
  5. Step 5: Solve for x
    x = 32,229,728.80/6,336.54
  6. Step 6: Final answer
    x = 5,086.33

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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.