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Finding the Fourth Proportional to 6,830.30, 10,237.94 and 2,669.54

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Solution

The fourth proportional to 6,830.30, 10,237.94 and 2,669.54 is: 4,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.30 : 10,237.94 = 2,669.54 : x
  2. Step 2: Convert to fraction form
    6,830.30/10,237.94 = 2,669.54/x
  3. Step 3: Cross multiply
    6,830.30x = 10,237.94 × 2,669.54
  4. Step 4: Simplify right side
    6,830.30x = 27,330,525.81
  5. Step 5: Solve for x
    x = 27,330,525.81/6,830.30
  6. Step 6: Final answer
    x = 4,001.36

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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.