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Finding the Fourth Proportional to 8,194.44, 11,307.99 and 4,837.38

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Solution

The fourth proportional to 8,194.44, 11,307.99 and 4,837.38 is: 6,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.44 : 11,307.99 = 4,837.38 : x
  2. Step 2: Convert to fraction form
    8,194.44/11,307.99 = 4,837.38/x
  3. Step 3: Cross multiply
    8,194.44x = 11,307.99 × 4,837.38
  4. Step 4: Simplify right side
    8,194.44x = 54,701,044.67
  5. Step 5: Solve for x
    x = 54,701,044.67/8,194.44
  6. Step 6: Final answer
    x = 6,675.39

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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.