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Finding the Fourth Proportional to 6,602.49, 9,905.27 and 1,922.61

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Solution

The fourth proportional to 6,602.49, 9,905.27 and 1,922.61 is: 2,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.49 : 9,905.27 = 1,922.61 : x
  2. Step 2: Convert to fraction form
    6,602.49/9,905.27 = 1,922.61/x
  3. Step 3: Cross multiply
    6,602.49x = 9,905.27 × 1,922.61
  4. Step 4: Simplify right side
    6,602.49x = 19,043,961.54
  5. Step 5: Solve for x
    x = 19,043,961.54/6,602.49
  6. Step 6: Final answer
    x = 2,884.36

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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.