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Finding the Fourth Proportional to 22,530.39, 33,796.05 and 6,948

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Solution

The fourth proportional to 22,530.39, 33,796.05 and 6,948 is: 10,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530.39 : 33,796.05 = 6,948 : x
  2. Step 2: Convert to fraction form
    22,530.39/33,796.05 = 6,948/x
  3. Step 3: Cross multiply
    22,530.39x = 33,796.05 × 6,948
  4. Step 4: Simplify right side
    22,530.39x = 234,814,955.40
  5. Step 5: Solve for x
    x = 234,814,955.40/22,530.39
  6. Step 6: Final answer
    x = 10,422.14

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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.