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Finding the Fourth Proportional to 11,805.69, 16,274.74 and 8,257.89

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Solution

The fourth proportional to 11,805.69, 16,274.74 and 8,257.89 is: 11,383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.69 : 16,274.74 = 8,257.89 : x
  2. Step 2: Convert to fraction form
    11,805.69/16,274.74 = 8,257.89/x
  3. Step 3: Cross multiply
    11,805.69x = 16,274.74 × 8,257.89
  4. Step 4: Simplify right side
    11,805.69x = 134,395,012.70
  5. Step 5: Solve for x
    x = 134,395,012.70/11,805.69
  6. Step 6: Final answer
    x = 11,383.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.