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Finding the Fourth Proportional to 6,648, 9,973.44 and 2,544

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Solution

The fourth proportional to 6,648, 9,973.44 and 2,544 is: 3,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648 : 9,973.44 = 2,544 : x
  2. Step 2: Convert to fraction form
    6,648/9,973.44 = 2,544/x
  3. Step 3: Cross multiply
    6,648x = 9,973.44 × 2,544
  4. Step 4: Simplify right side
    6,648x = 25,372,431.36
  5. Step 5: Solve for x
    x = 25,372,431.36/6,648
  6. Step 6: Final answer
    x = 3,816.55

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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.