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Finding the Fourth Proportional to 6,770.16, 10,147.16 and 3,073.36

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Solution

The fourth proportional to 6,770.16, 10,147.16 and 3,073.36 is: 4,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.16 : 10,147.16 = 3,073.36 : x
  2. Step 2: Convert to fraction form
    6,770.16/10,147.16 = 3,073.36/x
  3. Step 3: Cross multiply
    6,770.16x = 10,147.16 × 3,073.36
  4. Step 4: Simplify right side
    6,770.16x = 31,185,875.66
  5. Step 5: Solve for x
    x = 31,185,875.66/6,770.16
  6. Step 6: Final answer
    x = 4,606.37

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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.