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Finding the Fourth Proportional to 12,326, 17,009.98 and 6,737

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Solution

The fourth proportional to 12,326, 17,009.98 and 6,737 is: 9,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326 : 17,009.98 = 6,737 : x
  2. Step 2: Convert to fraction form
    12,326/17,009.98 = 6,737/x
  3. Step 3: Cross multiply
    12,326x = 17,009.98 × 6,737
  4. Step 4: Simplify right side
    12,326x = 114,596,235.26
  5. Step 5: Solve for x
    x = 114,596,235.26/12,326
  6. Step 6: Final answer
    x = 9,297.11

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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.