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Finding the Fourth Proportional to 6,827.70, 10,244.80 and 2,445.60

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Solution

The fourth proportional to 6,827.70, 10,244.80 and 2,445.60 is: 3,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.70 : 10,244.80 = 2,445.60 : x
  2. Step 2: Convert to fraction form
    6,827.70/10,244.80 = 2,445.60/x
  3. Step 3: Cross multiply
    6,827.70x = 10,244.80 × 2,445.60
  4. Step 4: Simplify right side
    6,827.70x = 25,054,682.88
  5. Step 5: Solve for x
    x = 25,054,682.88/6,827.70
  6. Step 6: Final answer
    x = 3,669.56

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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.