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Finding the Fourth Proportional to 22,644.21, 33,964.77 and 6,849.81

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Solution

The fourth proportional to 22,644.21, 33,964.77 and 6,849.81 is: 10,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.21 : 33,964.77 = 6,849.81 : x
  2. Step 2: Convert to fraction form
    22,644.21/33,964.77 = 6,849.81/x
  3. Step 3: Cross multiply
    22,644.21x = 33,964.77 × 6,849.81
  4. Step 4: Simplify right side
    22,644.21x = 232,652,221.19
  5. Step 5: Solve for x
    x = 232,652,221.19/22,644.21
  6. Step 6: Final answer
    x = 10,274.25

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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.