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Finding the Fourth Proportional to 12,462, 17,197.92 and 6,873.36

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Solution

The fourth proportional to 12,462, 17,197.92 and 6,873.36 is: 9,485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462 : 17,197.92 = 6,873.36 : x
  2. Step 2: Convert to fraction form
    12,462/17,197.92 = 6,873.36/x
  3. Step 3: Cross multiply
    12,462x = 17,197.92 × 6,873.36
  4. Step 4: Simplify right side
    12,462x = 118,207,495.41
  5. Step 5: Solve for x
    x = 118,207,495.41/12,462
  6. Step 6: Final answer
    x = 9,485.44

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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.