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Finding the Fourth Proportional to 8,195.73, 11,309.78 and 4,839.63

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Solution

The fourth proportional to 8,195.73, 11,309.78 and 4,839.63 is: 6,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.73 : 11,309.78 = 4,839.63 : x
  2. Step 2: Convert to fraction form
    8,195.73/11,309.78 = 4,839.63/x
  3. Step 3: Cross multiply
    8,195.73x = 11,309.78 × 4,839.63
  4. Step 4: Simplify right side
    8,195.73x = 54,735,094.03
  5. Step 5: Solve for x
    x = 54,735,094.03/8,195.73
  6. Step 6: Final answer
    x = 6,678.49

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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.