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Finding the Fourth Proportional to 9,176.50, 13,764.89 and 2,251

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Solution

The fourth proportional to 9,176.50, 13,764.89 and 2,251 is: 3,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.50 : 13,764.89 = 2,251 : x
  2. Step 2: Convert to fraction form
    9,176.50/13,764.89 = 2,251/x
  3. Step 3: Cross multiply
    9,176.50x = 13,764.89 × 2,251
  4. Step 4: Simplify right side
    9,176.50x = 30,984,767.39
  5. Step 5: Solve for x
    x = 30,984,767.39/9,176.50
  6. Step 6: Final answer
    x = 3,376.53

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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.