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Finding the Fourth Proportional to 6,701.12, 9,247.82 and 4,048

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Solution

The fourth proportional to 6,701.12, 9,247.82 and 4,048 is: 5,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.12 : 9,247.82 = 4,048 : x
  2. Step 2: Convert to fraction form
    6,701.12/9,247.82 = 4,048/x
  3. Step 3: Cross multiply
    6,701.12x = 9,247.82 × 4,048
  4. Step 4: Simplify right side
    6,701.12x = 37,435,175.36
  5. Step 5: Solve for x
    x = 37,435,175.36/6,701.12
  6. Step 6: Final answer
    x = 5,586.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.