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Finding the Fourth Proportional to 6,065.87, 9,100.17 and 1,683.68

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Solution

The fourth proportional to 6,065.87, 9,100.17 and 1,683.68 is: 2,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.87 : 9,100.17 = 1,683.68 : x
  2. Step 2: Convert to fraction form
    6,065.87/9,100.17 = 1,683.68/x
  3. Step 3: Cross multiply
    6,065.87x = 9,100.17 × 1,683.68
  4. Step 4: Simplify right side
    6,065.87x = 15,321,728.72
  5. Step 5: Solve for x
    x = 15,321,728.72/6,065.87
  6. Step 6: Final answer
    x = 2,525.89

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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.