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Finding the Fourth Proportional to 6,680, 10,020.54 and 2,063

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Solution

The fourth proportional to 6,680, 10,020.54 and 2,063 is: 3,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680 : 10,020.54 = 2,063 : x
  2. Step 2: Convert to fraction form
    6,680/10,020.54 = 2,063/x
  3. Step 3: Cross multiply
    6,680x = 10,020.54 × 2,063
  4. Step 4: Simplify right side
    6,680x = 20,672,374.02
  5. Step 5: Solve for x
    x = 20,672,374.02/6,680
  6. Step 6: Final answer
    x = 3,094.67

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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.