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Finding the Fourth Proportional to 6,683.40, 10,019.76 and 3,171.64

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Solution

The fourth proportional to 6,683.40, 10,019.76 and 3,171.64 is: 4,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.40 : 10,019.76 = 3,171.64 : x
  2. Step 2: Convert to fraction form
    6,683.40/10,019.76 = 3,171.64/x
  3. Step 3: Cross multiply
    6,683.40x = 10,019.76 × 3,171.64
  4. Step 4: Simplify right side
    6,683.40x = 31,779,071.61
  5. Step 5: Solve for x
    x = 31,779,071.61/6,683.40
  6. Step 6: Final answer
    x = 4,754.93

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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.