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Finding the Fourth Proportional to 11,784.87, 16,263.86 and 8,249.22

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Solution

The fourth proportional to 11,784.87, 16,263.86 and 8,249.22 is: 11,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.87 : 16,263.86 = 8,249.22 : x
  2. Step 2: Convert to fraction form
    11,784.87/16,263.86 = 8,249.22/x
  3. Step 3: Cross multiply
    11,784.87x = 16,263.86 × 8,249.22
  4. Step 4: Simplify right side
    11,784.87x = 134,164,117.94
  5. Step 5: Solve for x
    x = 134,164,117.94/11,784.87
  6. Step 6: Final answer
    x = 11,384.44

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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.