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Finding the Fourth Proportional to 6,583.58, 9,873.19 and 3,294.42

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Solution

The fourth proportional to 6,583.58, 9,873.19 and 3,294.42 is: 4,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.58 : 9,873.19 = 3,294.42 : x
  2. Step 2: Convert to fraction form
    6,583.58/9,873.19 = 3,294.42/x
  3. Step 3: Cross multiply
    6,583.58x = 9,873.19 × 3,294.42
  4. Step 4: Simplify right side
    6,583.58x = 32,526,457.23
  5. Step 5: Solve for x
    x = 32,526,457.23/6,583.58
  6. Step 6: Final answer
    x = 4,940.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.