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Finding the Fourth Proportional to 12,182.14, 16,811.17 and 6,804.65

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Solution

The fourth proportional to 12,182.14, 16,811.17 and 6,804.65 is: 9,390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.14 : 16,811.17 = 6,804.65 : x
  2. Step 2: Convert to fraction form
    12,182.14/16,811.17 = 6,804.65/x
  3. Step 3: Cross multiply
    12,182.14x = 16,811.17 × 6,804.65
  4. Step 4: Simplify right side
    12,182.14x = 114,394,127.94
  5. Step 5: Solve for x
    x = 114,394,127.94/12,182.14
  6. Step 6: Final answer
    x = 9,390.31

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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.