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Finding the Fourth Proportional to 6,664.06, 9,195.97 and 3,830.77

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Solution

The fourth proportional to 6,664.06, 9,195.97 and 3,830.77 is: 5,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.06 : 9,195.97 = 3,830.77 : x
  2. Step 2: Convert to fraction form
    6,664.06/9,195.97 = 3,830.77/x
  3. Step 3: Cross multiply
    6,664.06x = 9,195.97 × 3,830.77
  4. Step 4: Simplify right side
    6,664.06x = 35,227,646.00
  5. Step 5: Solve for x
    x = 35,227,646.00/6,664.06
  6. Step 6: Final answer
    x = 5,286.21

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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.