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Finding the Fourth Proportional to 8,294.39, 11,460.83 and 6,629.54

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Solution

The fourth proportional to 8,294.39, 11,460.83 and 6,629.54 is: 9,160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.39 : 11,460.83 = 6,629.54 : x
  2. Step 2: Convert to fraction form
    8,294.39/11,460.83 = 6,629.54/x
  3. Step 3: Cross multiply
    8,294.39x = 11,460.83 × 6,629.54
  4. Step 4: Simplify right side
    8,294.39x = 75,979,940.47
  5. Step 5: Solve for x
    x = 75,979,940.47/8,294.39
  6. Step 6: Final answer
    x = 9,160.41

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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.