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Finding the Fourth Proportional to 22,300, 33,444.48 and 6,504.58

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Solution

The fourth proportional to 22,300, 33,444.48 and 6,504.58 is: 9,755.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300 : 33,444.48 = 6,504.58 : x
  2. Step 2: Convert to fraction form
    22,300/33,444.48 = 6,504.58/x
  3. Step 3: Cross multiply
    22,300x = 33,444.48 × 6,504.58
  4. Step 4: Simplify right side
    22,300x = 217,542,295.72
  5. Step 5: Solve for x
    x = 217,542,295.72/22,300
  6. Step 6: Final answer
    x = 9,755.26

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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.