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Finding the Fourth Proportional to 6,661.01, 9,191.69 and 3,828.38

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Solution

The fourth proportional to 6,661.01, 9,191.69 and 3,828.38 is: 5,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.01 : 9,191.69 = 3,828.38 : x
  2. Step 2: Convert to fraction form
    6,661.01/9,191.69 = 3,828.38/x
  3. Step 3: Cross multiply
    6,661.01x = 9,191.69 × 3,828.38
  4. Step 4: Simplify right side
    6,661.01x = 35,189,263.02
  5. Step 5: Solve for x
    x = 35,189,263.02/6,661.01
  6. Step 6: Final answer
    x = 5,282.88

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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.