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Finding the Fourth Proportional to 8,997, 13,495.98 and 3,451.16

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Solution

The fourth proportional to 8,997, 13,495.98 and 3,451.16 is: 5,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997 : 13,495.98 = 3,451.16 : x
  2. Step 2: Convert to fraction form
    8,997/13,495.98 = 3,451.16/x
  3. Step 3: Cross multiply
    8,997x = 13,495.98 × 3,451.16
  4. Step 4: Simplify right side
    8,997x = 46,576,786.34
  5. Step 5: Solve for x
    x = 46,576,786.34/8,997
  6. Step 6: Final answer
    x = 5,176.92

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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.