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Finding the Fourth Proportional to 6,903, 9,526.14 and 3,759.30

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Solution

The fourth proportional to 6,903, 9,526.14 and 3,759.30 is: 5,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903 : 9,526.14 = 3,759.30 : x
  2. Step 2: Convert to fraction form
    6,903/9,526.14 = 3,759.30/x
  3. Step 3: Cross multiply
    6,903x = 9,526.14 × 3,759.30
  4. Step 4: Simplify right side
    6,903x = 35,811,618.10
  5. Step 5: Solve for x
    x = 35,811,618.10/6,903
  6. Step 6: Final answer
    x = 5,187.83

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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.