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Finding the Fourth Proportional to 4,641.94, 6,963.99 and 1,563.94

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Solution

The fourth proportional to 4,641.94, 6,963.99 and 1,563.94 is: 2,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.94 : 6,963.99 = 1,563.94 : x
  2. Step 2: Convert to fraction form
    4,641.94/6,963.99 = 1,563.94/x
  3. Step 3: Cross multiply
    4,641.94x = 6,963.99 × 1,563.94
  4. Step 4: Simplify right side
    4,641.94x = 10,891,245.11
  5. Step 5: Solve for x
    x = 10,891,245.11/4,641.94
  6. Step 6: Final answer
    x = 2,346.27

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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.