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Finding the Fourth Proportional to 6,851.51, 10,277.22 and 1,657.38

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Solution

The fourth proportional to 6,851.51, 10,277.22 and 1,657.38 is: 2,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.51 : 10,277.22 = 1,657.38 : x
  2. Step 2: Convert to fraction form
    6,851.51/10,277.22 = 1,657.38/x
  3. Step 3: Cross multiply
    6,851.51x = 10,277.22 × 1,657.38
  4. Step 4: Simplify right side
    6,851.51x = 17,033,258.88
  5. Step 5: Solve for x
    x = 17,033,258.88/6,851.51
  6. Step 6: Final answer
    x = 2,486.06

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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.