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Finding the Fourth Proportional to 6,600.18, 9,894.83 and 5,364.50

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Solution

The fourth proportional to 6,600.18, 9,894.83 and 5,364.50 is: 8,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,600.18 : 9,894.83 = 5,364.50 : x
  2. Step 2: Convert to fraction form
    6,600.18/9,894.83 = 5,364.50/x
  3. Step 3: Cross multiply
    6,600.18x = 9,894.83 × 5,364.50
  4. Step 4: Simplify right side
    6,600.18x = 53,080,815.54
  5. Step 5: Solve for x
    x = 53,080,815.54/6,600.18
  6. Step 6: Final answer
    x = 8,042.33

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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.