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Finding the Fourth Proportional to 6,297.60, 9,445.20 and 1,680.96

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Solution

The fourth proportional to 6,297.60, 9,445.20 and 1,680.96 is: 2,521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.60 : 9,445.20 = 1,680.96 : x
  2. Step 2: Convert to fraction form
    6,297.60/9,445.20 = 1,680.96/x
  3. Step 3: Cross multiply
    6,297.60x = 9,445.20 × 1,680.96
  4. Step 4: Simplify right side
    6,297.60x = 15,877,003.39
  5. Step 5: Solve for x
    x = 15,877,003.39/6,297.60
  6. Step 6: Final answer
    x = 2,521.12

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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.