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Finding the Fourth Proportional to 22,494, 33,741.54 and 6,912.84

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Solution

The fourth proportional to 22,494, 33,741.54 and 6,912.84 is: 10,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494 : 33,741.54 = 6,912.84 : x
  2. Step 2: Convert to fraction form
    22,494/33,741.54 = 6,912.84/x
  3. Step 3: Cross multiply
    22,494x = 33,741.54 × 6,912.84
  4. Step 4: Simplify right side
    22,494x = 233,249,867.37
  5. Step 5: Solve for x
    x = 233,249,867.37/22,494
  6. Step 6: Final answer
    x = 10,369.43

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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.