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Finding the Fourth Proportional to 6,997, 10,495.54 and 2,380.04

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Solution

The fourth proportional to 6,997, 10,495.54 and 2,380.04 is: 3,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997 : 10,495.54 = 2,380.04 : x
  2. Step 2: Convert to fraction form
    6,997/10,495.54 = 2,380.04/x
  3. Step 3: Cross multiply
    6,997x = 10,495.54 × 2,380.04
  4. Step 4: Simplify right side
    6,997x = 24,979,805.02
  5. Step 5: Solve for x
    x = 24,979,805.02/6,997
  6. Step 6: Final answer
    x = 3,570.07

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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.