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Finding the Fourth Proportional to 6,478.92, 8,940.87 and 3,684.42

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Solution

The fourth proportional to 6,478.92, 8,940.87 and 3,684.42 is: 5,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.92 : 8,940.87 = 3,684.42 : x
  2. Step 2: Convert to fraction form
    6,478.92/8,940.87 = 3,684.42/x
  3. Step 3: Cross multiply
    6,478.92x = 8,940.87 × 3,684.42
  4. Step 4: Simplify right side
    6,478.92x = 32,941,920.25
  5. Step 5: Solve for x
    x = 32,941,920.25/6,478.92
  6. Step 6: Final answer
    x = 5,084.48

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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.