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Finding the Fourth Proportional to 6,544.50, 9,816.84 and 3,628.50

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Solution

The fourth proportional to 6,544.50, 9,816.84 and 3,628.50 is: 5,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.50 : 9,816.84 = 3,628.50 : x
  2. Step 2: Convert to fraction form
    6,544.50/9,816.84 = 3,628.50/x
  3. Step 3: Cross multiply
    6,544.50x = 9,816.84 × 3,628.50
  4. Step 4: Simplify right side
    6,544.50x = 35,620,403.94
  5. Step 5: Solve for x
    x = 35,620,403.94/6,544.50
  6. Step 6: Final answer
    x = 5,442.80

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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.