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Finding the Fourth Proportional to 6,646.08, 9,968.04 and 2,028

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Solution

The fourth proportional to 6,646.08, 9,968.04 and 2,028 is: 3,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.08 : 9,968.04 = 2,028 : x
  2. Step 2: Convert to fraction form
    6,646.08/9,968.04 = 2,028/x
  3. Step 3: Cross multiply
    6,646.08x = 9,968.04 × 2,028
  4. Step 4: Simplify right side
    6,646.08x = 20,215,185.12
  5. Step 5: Solve for x
    x = 20,215,185.12/6,646.08
  6. Step 6: Final answer
    x = 3,041.67

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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.