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Finding the Fourth Proportional to 6,735.60, 10,103.40 and 6,249.60

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Solution

The fourth proportional to 6,735.60, 10,103.40 and 6,249.60 is: 9,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.60 : 10,103.40 = 6,249.60 : x
  2. Step 2: Convert to fraction form
    6,735.60/10,103.40 = 6,249.60/x
  3. Step 3: Cross multiply
    6,735.60x = 10,103.40 × 6,249.60
  4. Step 4: Simplify right side
    6,735.60x = 63,142,208.64
  5. Step 5: Solve for x
    x = 63,142,208.64/6,735.60
  6. Step 6: Final answer
    x = 9,374.40

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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.