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Finding the Fourth Proportional to 6,544.52, 9,816.73 and 2,648.87

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Solution

The fourth proportional to 6,544.52, 9,816.73 and 2,648.87 is: 3,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.52 : 9,816.73 = 2,648.87 : x
  2. Step 2: Convert to fraction form
    6,544.52/9,816.73 = 2,648.87/x
  3. Step 3: Cross multiply
    6,544.52x = 9,816.73 × 2,648.87
  4. Step 4: Simplify right side
    6,544.52x = 26,003,228.16
  5. Step 5: Solve for x
    x = 26,003,228.16/6,544.52
  6. Step 6: Final answer
    x = 3,973.28

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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.