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Finding the Fourth Proportional to 7,997, 11,035.84 and 4,460

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Solution

The fourth proportional to 7,997, 11,035.84 and 4,460 is: 6,154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997 : 11,035.84 = 4,460 : x
  2. Step 2: Convert to fraction form
    7,997/11,035.84 = 4,460/x
  3. Step 3: Cross multiply
    7,997x = 11,035.84 × 4,460
  4. Step 4: Simplify right side
    7,997x = 49,219,846.40
  5. Step 5: Solve for x
    x = 49,219,846.40/7,997
  6. Step 6: Final answer
    x = 6,154.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.