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Finding the Fourth Proportional to 6,133.16, 9,198.51 and 1,689.67

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Solution

The fourth proportional to 6,133.16, 9,198.51 and 1,689.67 is: 2,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.16 : 9,198.51 = 1,689.67 : x
  2. Step 2: Convert to fraction form
    6,133.16/9,198.51 = 1,689.67/x
  3. Step 3: Cross multiply
    6,133.16x = 9,198.51 × 1,689.67
  4. Step 4: Simplify right side
    6,133.16x = 15,542,446.39
  5. Step 5: Solve for x
    x = 15,542,446.39/6,133.16
  6. Step 6: Final answer
    x = 2,534.17

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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.