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Finding the Fourth Proportional to 12,322, 17,004.36 and 6,733

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Solution

The fourth proportional to 12,322, 17,004.36 and 6,733 is: 9,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322 : 17,004.36 = 6,733 : x
  2. Step 2: Convert to fraction form
    12,322/17,004.36 = 6,733/x
  3. Step 3: Cross multiply
    12,322x = 17,004.36 × 6,733
  4. Step 4: Simplify right side
    12,322x = 114,490,355.88
  5. Step 5: Solve for x
    x = 114,490,355.88/12,322
  6. Step 6: Final answer
    x = 9,291.54

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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.