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Finding the Fourth Proportional to 8,209.56, 11,326.44 and 4,853.44

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Solution

The fourth proportional to 8,209.56, 11,326.44 and 4,853.44 is: 6,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.56 : 11,326.44 = 4,853.44 : x
  2. Step 2: Convert to fraction form
    8,209.56/11,326.44 = 4,853.44/x
  3. Step 3: Cross multiply
    8,209.56x = 11,326.44 × 4,853.44
  4. Step 4: Simplify right side
    8,209.56x = 54,972,196.95
  5. Step 5: Solve for x
    x = 54,972,196.95/8,209.56
  6. Step 6: Final answer
    x = 6,696.12

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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.