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Finding the Fourth Proportional to 6,664.06, 9,196.16 and 3,679.88

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Solution

The fourth proportional to 6,664.06, 9,196.16 and 3,679.88 is: 5,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.06 : 9,196.16 = 3,679.88 : x
  2. Step 2: Convert to fraction form
    6,664.06/9,196.16 = 3,679.88/x
  3. Step 3: Cross multiply
    6,664.06x = 9,196.16 × 3,679.88
  4. Step 4: Simplify right side
    6,664.06x = 33,840,765.26
  5. Step 5: Solve for x
    x = 33,840,765.26/6,664.06
  6. Step 6: Final answer
    x = 5,078.10

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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.