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Finding the Fourth Proportional to 22,546.82, 33,825.80 and 6,964.45

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Solution

The fourth proportional to 22,546.82, 33,825.80 and 6,964.45 is: 10,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.82 : 33,825.80 = 6,964.45 : x
  2. Step 2: Convert to fraction form
    22,546.82/33,825.80 = 6,964.45/x
  3. Step 3: Cross multiply
    22,546.82x = 33,825.80 × 6,964.45
  4. Step 4: Simplify right side
    22,546.82x = 235,578,092.81
  5. Step 5: Solve for x
    x = 235,578,092.81/22,546.82
  6. Step 6: Final answer
    x = 10,448.40

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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.