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Finding the Fourth Proportional to 7,286.80, 10,921.20 and 4,946.80

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Solution

The fourth proportional to 7,286.80, 10,921.20 and 4,946.80 is: 7,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.80 : 10,921.20 = 4,946.80 : x
  2. Step 2: Convert to fraction form
    7,286.80/10,921.20 = 4,946.80/x
  3. Step 3: Cross multiply
    7,286.80x = 10,921.20 × 4,946.80
  4. Step 4: Simplify right side
    7,286.80x = 54,024,992.16
  5. Step 5: Solve for x
    x = 54,024,992.16/7,286.80
  6. Step 6: Final answer
    x = 7,414.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.