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Finding the Fourth Proportional to 6,302.61, 9,453.20 and 1,685.25

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Solution

The fourth proportional to 6,302.61, 9,453.20 and 1,685.25 is: 2,527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.61 : 9,453.20 = 1,685.25 : x
  2. Step 2: Convert to fraction form
    6,302.61/9,453.20 = 1,685.25/x
  3. Step 3: Cross multiply
    6,302.61x = 9,453.20 × 1,685.25
  4. Step 4: Simplify right side
    6,302.61x = 15,930,996.87
  5. Step 5: Solve for x
    x = 15,930,996.87/6,302.61
  6. Step 6: Final answer
    x = 2,527.68

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