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Finding the Fourth Proportional to 6,563.52, 9,822.15 and 4,099.50

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Solution

The fourth proportional to 6,563.52, 9,822.15 and 4,099.50 is: 6,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.52 : 9,822.15 = 4,099.50 : x
  2. Step 2: Convert to fraction form
    6,563.52/9,822.15 = 4,099.50/x
  3. Step 3: Cross multiply
    6,563.52x = 9,822.15 × 4,099.50
  4. Step 4: Simplify right side
    6,563.52x = 40,265,903.93
  5. Step 5: Solve for x
    x = 40,265,903.93/6,563.52
  6. Step 6: Final answer
    x = 6,134.80

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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.