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Finding the Fourth Proportional to 5,296.86, 7,311.24 and 3,306.24

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Solution

The fourth proportional to 5,296.86, 7,311.24 and 3,306.24 is: 4,563.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.86 : 7,311.24 = 3,306.24 : x
  2. Step 2: Convert to fraction form
    5,296.86/7,311.24 = 3,306.24/x
  3. Step 3: Cross multiply
    5,296.86x = 7,311.24 × 3,306.24
  4. Step 4: Simplify right side
    5,296.86x = 24,172,714.14
  5. Step 5: Solve for x
    x = 24,172,714.14/5,296.86
  6. Step 6: Final answer
    x = 4,563.59

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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.