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Finding the Fourth Proportional to 6,902.18, 9,525.02 and 3,758.38

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Solution

The fourth proportional to 6,902.18, 9,525.02 and 3,758.38 is: 5,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.18 : 9,525.02 = 3,758.38 : x
  2. Step 2: Convert to fraction form
    6,902.18/9,525.02 = 3,758.38/x
  3. Step 3: Cross multiply
    6,902.18x = 9,525.02 × 3,758.38
  4. Step 4: Simplify right side
    6,902.18x = 35,798,644.67
  5. Step 5: Solve for x
    x = 35,798,644.67/6,902.18
  6. Step 6: Final answer
    x = 5,186.57

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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.