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Finding the Fourth Proportional to 22,997, 34,495.50 and 6,357.20

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Solution

The fourth proportional to 22,997, 34,495.50 and 6,357.20 is: 9,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997 : 34,495.50 = 6,357.20 : x
  2. Step 2: Convert to fraction form
    22,997/34,495.50 = 6,357.20/x
  3. Step 3: Cross multiply
    22,997x = 34,495.50 × 6,357.20
  4. Step 4: Simplify right side
    22,997x = 219,294,792.60
  5. Step 5: Solve for x
    x = 219,294,792.60/22,997
  6. Step 6: Final answer
    x = 9,535.80

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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.