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Finding the Fourth Proportional to 6,458.16, 9,683.64 and 3,170.40

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Solution

The fourth proportional to 6,458.16, 9,683.64 and 3,170.40 is: 4,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.16 : 9,683.64 = 3,170.40 : x
  2. Step 2: Convert to fraction form
    6,458.16/9,683.64 = 3,170.40/x
  3. Step 3: Cross multiply
    6,458.16x = 9,683.64 × 3,170.40
  4. Step 4: Simplify right side
    6,458.16x = 30,701,012.26
  5. Step 5: Solve for x
    x = 30,701,012.26/6,458.16
  6. Step 6: Final answer
    x = 4,753.83

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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.