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Finding the Fourth Proportional to 6,850.36, 10,275.54 and 1,656.24

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Solution

The fourth proportional to 6,850.36, 10,275.54 and 1,656.24 is: 2,484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.36 : 10,275.54 = 1,656.24 : x
  2. Step 2: Convert to fraction form
    6,850.36/10,275.54 = 1,656.24/x
  3. Step 3: Cross multiply
    6,850.36x = 10,275.54 × 1,656.24
  4. Step 4: Simplify right side
    6,850.36x = 17,018,760.37
  5. Step 5: Solve for x
    x = 17,018,760.37/6,850.36
  6. Step 6: Final answer
    x = 2,484.36

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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.