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Finding the Fourth Proportional to 6,828.40, 10,242.60 and 6,266.80

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Solution

The fourth proportional to 6,828.40, 10,242.60 and 6,266.80 is: 9,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.40 : 10,242.60 = 6,266.80 : x
  2. Step 2: Convert to fraction form
    6,828.40/10,242.60 = 6,266.80/x
  3. Step 3: Cross multiply
    6,828.40x = 10,242.60 × 6,266.80
  4. Step 4: Simplify right side
    6,828.40x = 64,188,325.68
  5. Step 5: Solve for x
    x = 64,188,325.68/6,828.40
  6. Step 6: Final answer
    x = 9,400.20

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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.