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Finding the Fourth Proportional to 6,010, 9,016.44 and 1,906

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Solution

The fourth proportional to 6,010, 9,016.44 and 1,906 is: 2,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,010 : 9,016.44 = 1,906 : x
  2. Step 2: Convert to fraction form
    6,010/9,016.44 = 1,906/x
  3. Step 3: Cross multiply
    6,010x = 9,016.44 × 1,906
  4. Step 4: Simplify right side
    6,010x = 17,185,334.64
  5. Step 5: Solve for x
    x = 17,185,334.64/6,010
  6. Step 6: Final answer
    x = 2,859.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.