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Finding the Fourth Proportional to 12,263, 16,922.94 and 6,674

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Solution

The fourth proportional to 12,263, 16,922.94 and 6,674 is: 9,210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263 : 16,922.94 = 6,674 : x
  2. Step 2: Convert to fraction form
    12,263/16,922.94 = 6,674/x
  3. Step 3: Cross multiply
    12,263x = 16,922.94 × 6,674
  4. Step 4: Simplify right side
    12,263x = 112,943,701.56
  5. Step 5: Solve for x
    x = 112,943,701.56/12,263
  6. Step 6: Final answer
    x = 9,210.12

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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.