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Finding the Fourth Proportional to 12,302, 16,976.84 and 6,713

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Solution

The fourth proportional to 12,302, 16,976.84 and 6,713 is: 9,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302 : 16,976.84 = 6,713 : x
  2. Step 2: Convert to fraction form
    12,302/16,976.84 = 6,713/x
  3. Step 3: Cross multiply
    12,302x = 16,976.84 × 6,713
  4. Step 4: Simplify right side
    12,302x = 113,965,526.92
  5. Step 5: Solve for x
    x = 113,965,526.92/12,302
  6. Step 6: Final answer
    x = 9,263.98

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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.