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Finding the Fourth Proportional to 6,563.94, 9,850.47 and 2,668.35

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Solution

The fourth proportional to 6,563.94, 9,850.47 and 2,668.35 is: 4,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.94 : 9,850.47 = 2,668.35 : x
  2. Step 2: Convert to fraction form
    6,563.94/9,850.47 = 2,668.35/x
  3. Step 3: Cross multiply
    6,563.94x = 9,850.47 × 2,668.35
  4. Step 4: Simplify right side
    6,563.94x = 26,284,488.28
  5. Step 5: Solve for x
    x = 26,284,488.28/6,563.94
  6. Step 6: Final answer
    x = 4,004.38

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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.