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Finding the Fourth Proportional to 8,512.94, 11,747.76 and 4,736.09

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Solution

The fourth proportional to 8,512.94, 11,747.76 and 4,736.09 is: 6,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.94 : 11,747.76 = 4,736.09 : x
  2. Step 2: Convert to fraction form
    8,512.94/11,747.76 = 4,736.09/x
  3. Step 3: Cross multiply
    8,512.94x = 11,747.76 × 4,736.09
  4. Step 4: Simplify right side
    8,512.94x = 55,638,448.66
  5. Step 5: Solve for x
    x = 55,638,448.66/8,512.94
  6. Step 6: Final answer
    x = 6,535.75

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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.