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Finding the Fourth Proportional to 6,828, 10,242.24 and 3,904.96

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Solution

The fourth proportional to 6,828, 10,242.24 and 3,904.96 is: 5,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828 : 10,242.24 = 3,904.96 : x
  2. Step 2: Convert to fraction form
    6,828/10,242.24 = 3,904.96/x
  3. Step 3: Cross multiply
    6,828x = 10,242.24 × 3,904.96
  4. Step 4: Simplify right side
    6,828x = 39,995,537.51
  5. Step 5: Solve for x
    x = 39,995,537.51/6,828
  6. Step 6: Final answer
    x = 5,857.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.