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Finding the Fourth Proportional to 9,163, 13,744.59 and 2,237.50

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Solution

The fourth proportional to 9,163, 13,744.59 and 2,237.50 is: 3,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163 : 13,744.59 = 2,237.50 : x
  2. Step 2: Convert to fraction form
    9,163/13,744.59 = 2,237.50/x
  3. Step 3: Cross multiply
    9,163x = 13,744.59 × 2,237.50
  4. Step 4: Simplify right side
    9,163x = 30,753,520.13
  5. Step 5: Solve for x
    x = 30,753,520.13/9,163
  6. Step 6: Final answer
    x = 3,356.27

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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.