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Finding the Fourth Proportional to 6,563.52, 9,846 and 6,183.36

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Solution

The fourth proportional to 6,563.52, 9,846 and 6,183.36 is: 9,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.52 : 9,846 = 6,183.36 : x
  2. Step 2: Convert to fraction form
    6,563.52/9,846 = 6,183.36/x
  3. Step 3: Cross multiply
    6,563.52x = 9,846 × 6,183.36
  4. Step 4: Simplify right side
    6,563.52x = 60,881,362.56
  5. Step 5: Solve for x
    x = 60,881,362.56/6,563.52
  6. Step 6: Final answer
    x = 9,275.72

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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.