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Finding the Fourth Proportional to 12,182.33, 16,809.93 and 6,804.14

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Solution

The fourth proportional to 12,182.33, 16,809.93 and 6,804.14 is: 9,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.33 : 16,809.93 = 6,804.14 : x
  2. Step 2: Convert to fraction form
    12,182.33/16,809.93 = 6,804.14/x
  3. Step 3: Cross multiply
    12,182.33x = 16,809.93 × 6,804.14
  4. Step 4: Simplify right side
    12,182.33x = 114,377,033.06
  5. Step 5: Solve for x
    x = 114,377,033.06/12,182.33
  6. Step 6: Final answer
    x = 9,388.76

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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.