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Finding the Fourth Proportional to 6,848, 10,257.42 and 6,464.60

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Solution

The fourth proportional to 6,848, 10,257.42 and 6,464.60 is: 9,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848 : 10,257.42 = 6,464.60 : x
  2. Step 2: Convert to fraction form
    6,848/10,257.42 = 6,464.60/x
  3. Step 3: Cross multiply
    6,848x = 10,257.42 × 6,464.60
  4. Step 4: Simplify right side
    6,848x = 66,310,117.33
  5. Step 5: Solve for x
    x = 66,310,117.33/6,848
  6. Step 6: Final answer
    x = 9,683.14

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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.