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Finding the Fourth Proportional to 11,617.70, 16,033.80 and 6,902

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Solution

The fourth proportional to 11,617.70, 16,033.80 and 6,902 is: 9,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.70 : 16,033.80 = 6,902 : x
  2. Step 2: Convert to fraction form
    11,617.70/16,033.80 = 6,902/x
  3. Step 3: Cross multiply
    11,617.70x = 16,033.80 × 6,902
  4. Step 4: Simplify right side
    11,617.70x = 110,665,287.60
  5. Step 5: Solve for x
    x = 110,665,287.60/11,617.70
  6. Step 6: Final answer
    x = 9,525.58

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Why These Related Problems?

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