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Finding the Fourth Proportional to 22,462.40, 33,697.92 and 6,880.16

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Solution

The fourth proportional to 22,462.40, 33,697.92 and 6,880.16 is: 10,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.40 : 33,697.92 = 6,880.16 : x
  2. Step 2: Convert to fraction form
    22,462.40/33,697.92 = 6,880.16/x
  3. Step 3: Cross multiply
    22,462.40x = 33,697.92 × 6,880.16
  4. Step 4: Simplify right side
    22,462.40x = 231,847,081.27
  5. Step 5: Solve for x
    x = 231,847,081.27/22,462.40
  6. Step 6: Final answer
    x = 10,321.56

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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.