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Finding the Fourth Proportional to 6,850.36, 10,275.60 and 1,656.28

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Solution

The fourth proportional to 6,850.36, 10,275.60 and 1,656.28 is: 2,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.36 : 10,275.60 = 1,656.28 : x
  2. Step 2: Convert to fraction form
    6,850.36/10,275.60 = 1,656.28/x
  3. Step 3: Cross multiply
    6,850.36x = 10,275.60 × 1,656.28
  4. Step 4: Simplify right side
    6,850.36x = 17,019,270.77
  5. Step 5: Solve for x
    x = 17,019,270.77/6,850.36
  6. Step 6: Final answer
    x = 2,484.43

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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.