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Finding the Fourth Proportional to 6,850.39, 10,275.58 and 1,656.26

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Solution

The fourth proportional to 6,850.39, 10,275.58 and 1,656.26 is: 2,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.39 : 10,275.58 = 1,656.26 : x
  2. Step 2: Convert to fraction form
    6,850.39/10,275.58 = 1,656.26/x
  3. Step 3: Cross multiply
    6,850.39x = 10,275.58 × 1,656.26
  4. Step 4: Simplify right side
    6,850.39x = 17,019,032.13
  5. Step 5: Solve for x
    x = 17,019,032.13/6,850.39
  6. Step 6: Final answer
    x = 2,484.39

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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.