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Finding the Fourth Proportional to 6,516, 8,992.44 and 3,864.96

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Solution

The fourth proportional to 6,516, 8,992.44 and 3,864.96 is: 5,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516 : 8,992.44 = 3,864.96 : x
  2. Step 2: Convert to fraction form
    6,516/8,992.44 = 3,864.96/x
  3. Step 3: Cross multiply
    6,516x = 8,992.44 × 3,864.96
  4. Step 4: Simplify right side
    6,516x = 34,755,420.90
  5. Step 5: Solve for x
    x = 34,755,420.90/6,516
  6. Step 6: Final answer
    x = 5,333.86

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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.