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Finding the Fourth Proportional to 22,627.84, 33,937.92 and 6,208

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Solution

The fourth proportional to 22,627.84, 33,937.92 and 6,208 is: 9,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,627.84 : 33,937.92 = 6,208 : x
  2. Step 2: Convert to fraction form
    22,627.84/33,937.92 = 6,208/x
  3. Step 3: Cross multiply
    22,627.84x = 33,937.92 × 6,208
  4. Step 4: Simplify right side
    22,627.84x = 210,686,607.36
  5. Step 5: Solve for x
    x = 210,686,607.36/22,627.84
  6. Step 6: Final answer
    x = 9,310.95

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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.