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Finding the Fourth Proportional to 12,194, 16,828.44 and 6,888.68

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Solution

The fourth proportional to 12,194, 16,828.44 and 6,888.68 is: 9,506.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194 : 16,828.44 = 6,888.68 : x
  2. Step 2: Convert to fraction form
    12,194/16,828.44 = 6,888.68/x
  3. Step 3: Cross multiply
    12,194x = 16,828.44 × 6,888.68
  4. Step 4: Simplify right side
    12,194x = 115,925,738.06
  5. Step 5: Solve for x
    x = 115,925,738.06/12,194
  6. Step 6: Final answer
    x = 9,506.79

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1.5x scale

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.