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Finding the Fourth Proportional to 12,262, 16,921.62 and 6,673

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Solution

The fourth proportional to 12,262, 16,921.62 and 6,673 is: 9,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262 : 16,921.62 = 6,673 : x
  2. Step 2: Convert to fraction form
    12,262/16,921.62 = 6,673/x
  3. Step 3: Cross multiply
    12,262x = 16,921.62 × 6,673
  4. Step 4: Simplify right side
    12,262x = 112,917,970.26
  5. Step 5: Solve for x
    x = 112,917,970.26/12,262
  6. Step 6: Final answer
    x = 9,208.77

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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.