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Finding the Fourth Proportional to 9,179.50, 13,769.38 and 2,254

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Solution

The fourth proportional to 9,179.50, 13,769.38 and 2,254 is: 3,381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.50 : 13,769.38 = 2,254 : x
  2. Step 2: Convert to fraction form
    9,179.50/13,769.38 = 2,254/x
  3. Step 3: Cross multiply
    9,179.50x = 13,769.38 × 2,254
  4. Step 4: Simplify right side
    9,179.50x = 31,036,182.52
  5. Step 5: Solve for x
    x = 31,036,182.52/9,179.50
  6. Step 6: Final answer
    x = 3,381.03

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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.