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Finding the Fourth Proportional to 6,453.16, 9,681 and 2,070.28

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Solution

The fourth proportional to 6,453.16, 9,681 and 2,070.28 is: 3,105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.16 : 9,681 = 2,070.28 : x
  2. Step 2: Convert to fraction form
    6,453.16/9,681 = 2,070.28/x
  3. Step 3: Cross multiply
    6,453.16x = 9,681 × 2,070.28
  4. Step 4: Simplify right side
    6,453.16x = 20,042,380.68
  5. Step 5: Solve for x
    x = 20,042,380.68/6,453.16
  6. Step 6: Final answer
    x = 3,105.82

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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.