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Finding the Fourth Proportional to 6,901, 9,523.38 and 3,757

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Solution

The fourth proportional to 6,901, 9,523.38 and 3,757 is: 5,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901 : 9,523.38 = 3,757 : x
  2. Step 2: Convert to fraction form
    6,901/9,523.38 = 3,757/x
  3. Step 3: Cross multiply
    6,901x = 9,523.38 × 3,757
  4. Step 4: Simplify right side
    6,901x = 35,779,338.66
  5. Step 5: Solve for x
    x = 35,779,338.66/6,901
  6. Step 6: Final answer
    x = 5,184.66

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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.