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Finding the Fourth Proportional to 11,791.74, 16,273 and 6,486.96

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Solution

The fourth proportional to 11,791.74, 16,273 and 6,486.96 is: 8,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.74 : 16,273 = 6,486.96 : x
  2. Step 2: Convert to fraction form
    11,791.74/16,273 = 6,486.96/x
  3. Step 3: Cross multiply
    11,791.74x = 16,273 × 6,486.96
  4. Step 4: Simplify right side
    11,791.74x = 105,562,300.08
  5. Step 5: Solve for x
    x = 105,562,300.08/11,791.74
  6. Step 6: Final answer
    x = 8,952.22

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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.