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Finding the Fourth Proportional to 6,785, 9,364 and 3,801.38

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Solution

The fourth proportional to 6,785, 9,364 and 3,801.38 is: 5,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785 : 9,364 = 3,801.38 : x
  2. Step 2: Convert to fraction form
    6,785/9,364 = 3,801.38/x
  3. Step 3: Cross multiply
    6,785x = 9,364 × 3,801.38
  4. Step 4: Simplify right side
    6,785x = 35,596,122.32
  5. Step 5: Solve for x
    x = 35,596,122.32/6,785
  6. Step 6: Final answer
    x = 5,246.30

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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.