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Finding the Fourth Proportional to 6,930.53, 10,397.61 and 2,000.57

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Solution

The fourth proportional to 6,930.53, 10,397.61 and 2,000.57 is: 3,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.53 : 10,397.61 = 2,000.57 : x
  2. Step 2: Convert to fraction form
    6,930.53/10,397.61 = 2,000.57/x
  3. Step 3: Cross multiply
    6,930.53x = 10,397.61 × 2,000.57
  4. Step 4: Simplify right side
    6,930.53x = 20,801,094.65
  5. Step 5: Solve for x
    x = 20,801,094.65/6,930.53
  6. Step 6: Final answer
    x = 3,001.37

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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.