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Finding the Fourth Proportional to 7,462.40, 11,189.40 and 3,297.56

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Solution

The fourth proportional to 7,462.40, 11,189.40 and 3,297.56 is: 4,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.40 : 11,189.40 = 3,297.56 : x
  2. Step 2: Convert to fraction form
    7,462.40/11,189.40 = 3,297.56/x
  3. Step 3: Cross multiply
    7,462.40x = 11,189.40 × 3,297.56
  4. Step 4: Simplify right side
    7,462.40x = 36,897,717.86
  5. Step 5: Solve for x
    x = 36,897,717.86/7,462.40
  6. Step 6: Final answer
    x = 4,944.48

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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.