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Finding the Fourth Proportional to 7,462.80, 11,197.80 and 5,266.80

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Solution

The fourth proportional to 7,462.80, 11,197.80 and 5,266.80 is: 7,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.80 : 11,197.80 = 5,266.80 : x
  2. Step 2: Convert to fraction form
    7,462.80/11,197.80 = 5,266.80/x
  3. Step 3: Cross multiply
    7,462.80x = 11,197.80 × 5,266.80
  4. Step 4: Simplify right side
    7,462.80x = 58,976,573.04
  5. Step 5: Solve for x
    x = 58,976,573.04/7,462.80
  6. Step 6: Final answer
    x = 7,902.74

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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.