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Finding the Fourth Proportional to 10,687.60, 16,020.60 and 6,302.80

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Solution

The fourth proportional to 10,687.60, 16,020.60 and 6,302.80 is: 9,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.60 : 16,020.60 = 6,302.80 : x
  2. Step 2: Convert to fraction form
    10,687.60/16,020.60 = 6,302.80/x
  3. Step 3: Cross multiply
    10,687.60x = 16,020.60 × 6,302.80
  4. Step 4: Simplify right side
    10,687.60x = 100,974,637.68
  5. Step 5: Solve for x
    x = 100,974,637.68/10,687.60
  6. Step 6: Final answer
    x = 9,447.83

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Why These Related Problems?

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