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Finding the Fourth Proportional to 12,326, 17,010 and 6,737.12

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Solution

The fourth proportional to 12,326, 17,010 and 6,737.12 is: 9,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326 : 17,010 = 6,737.12 : x
  2. Step 2: Convert to fraction form
    12,326/17,010 = 6,737.12/x
  3. Step 3: Cross multiply
    12,326x = 17,010 × 6,737.12
  4. Step 4: Simplify right side
    12,326x = 114,598,411.20
  5. Step 5: Solve for x
    x = 114,598,411.20/12,326
  6. Step 6: Final answer
    x = 9,297.29

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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.