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Finding the Fourth Proportional to 11,616.84, 17,424.99 and 2,851.74

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Solution

The fourth proportional to 11,616.84, 17,424.99 and 2,851.74 is: 4,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.84 : 17,424.99 = 2,851.74 : x
  2. Step 2: Convert to fraction form
    11,616.84/17,424.99 = 2,851.74/x
  3. Step 3: Cross multiply
    11,616.84x = 17,424.99 × 2,851.74
  4. Step 4: Simplify right side
    11,616.84x = 49,691,540.98
  5. Step 5: Solve for x
    x = 49,691,540.98/11,616.84
  6. Step 6: Final answer
    x = 4,277.54

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1.5x scale

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.