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Finding the Fourth Proportional to 6,065.74, 9,097.60 and 1,683.64

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Solution

The fourth proportional to 6,065.74, 9,097.60 and 1,683.64 is: 2,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.74 : 9,097.60 = 1,683.64 : x
  2. Step 2: Convert to fraction form
    6,065.74/9,097.60 = 1,683.64/x
  3. Step 3: Cross multiply
    6,065.74x = 9,097.60 × 1,683.64
  4. Step 4: Simplify right side
    6,065.74x = 15,317,083.26
  5. Step 5: Solve for x
    x = 15,317,083.26/6,065.74
  6. Step 6: Final answer
    x = 2,525.18

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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.