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Finding the Fourth Proportional to 7,266.72, 9,967.92 and 7,204.44

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Solution

The fourth proportional to 7,266.72, 9,967.92 and 7,204.44 is: 9,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.72 : 9,967.92 = 7,204.44 : x
  2. Step 2: Convert to fraction form
    7,266.72/9,967.92 = 7,204.44/x
  3. Step 3: Cross multiply
    7,266.72x = 9,967.92 × 7,204.44
  4. Step 4: Simplify right side
    7,266.72x = 71,813,281.56
  5. Step 5: Solve for x
    x = 71,813,281.56/7,266.72
  6. Step 6: Final answer
    x = 9,882.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.