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Finding the Fourth Proportional to 6,684.40, 10,034.70 and 6,635.80

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Solution

The fourth proportional to 6,684.40, 10,034.70 and 6,635.80 is: 9,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.40 : 10,034.70 = 6,635.80 : x
  2. Step 2: Convert to fraction form
    6,684.40/10,034.70 = 6,635.80/x
  3. Step 3: Cross multiply
    6,684.40x = 10,034.70 × 6,635.80
  4. Step 4: Simplify right side
    6,684.40x = 66,588,262.26
  5. Step 5: Solve for x
    x = 66,588,262.26/6,684.40
  6. Step 6: Final answer
    x = 9,961.74

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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.