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Finding the Fourth Proportional to 22,406.40, 33,609.48 and 6,824.16

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Solution

The fourth proportional to 22,406.40, 33,609.48 and 6,824.16 is: 10,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406.40 : 33,609.48 = 6,824.16 : x
  2. Step 2: Convert to fraction form
    22,406.40/33,609.48 = 6,824.16/x
  3. Step 3: Cross multiply
    22,406.40x = 33,609.48 × 6,824.16
  4. Step 4: Simplify right side
    22,406.40x = 229,356,469.04
  5. Step 5: Solve for x
    x = 229,356,469.04/22,406.40
  6. Step 6: Final answer
    x = 10,236.20

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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.