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Finding the Fourth Proportional to 7,286.80, 10,930.76 and 2,607.80

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Solution

The fourth proportional to 7,286.80, 10,930.76 and 2,607.80 is: 3,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.80 : 10,930.76 = 2,607.80 : x
  2. Step 2: Convert to fraction form
    7,286.80/10,930.76 = 2,607.80/x
  3. Step 3: Cross multiply
    7,286.80x = 10,930.76 × 2,607.80
  4. Step 4: Simplify right side
    7,286.80x = 28,505,235.93
  5. Step 5: Solve for x
    x = 28,505,235.93/7,286.80
  6. Step 6: Final answer
    x = 3,911.90

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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.