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Finding the Fourth Proportional to 6,563.16, 9,844.88 and 3,659.94

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Solution

The fourth proportional to 6,563.16, 9,844.88 and 3,659.94 is: 5,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.16 : 9,844.88 = 3,659.94 : x
  2. Step 2: Convert to fraction form
    6,563.16/9,844.88 = 3,659.94/x
  3. Step 3: Cross multiply
    6,563.16x = 9,844.88 × 3,659.94
  4. Step 4: Simplify right side
    6,563.16x = 36,031,651.81
  5. Step 5: Solve for x
    x = 36,031,651.81/6,563.16
  6. Step 6: Final answer
    x = 5,489.99

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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.