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Finding the Fourth Proportional to 6,662.36, 9,194.48 and 3,678.16

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Solution

The fourth proportional to 6,662.36, 9,194.48 and 3,678.16 is: 5,076.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.36 : 9,194.48 = 3,678.16 : x
  2. Step 2: Convert to fraction form
    6,662.36/9,194.48 = 3,678.16/x
  3. Step 3: Cross multiply
    6,662.36x = 9,194.48 × 3,678.16
  4. Step 4: Simplify right side
    6,662.36x = 33,818,768.56
  5. Step 5: Solve for x
    x = 33,818,768.56/6,662.36
  6. Step 6: Final answer
    x = 5,076.09

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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.