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Finding the Fourth Proportional to 12,107.70, 16,709.22 and 6,804.18

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Solution

The fourth proportional to 12,107.70, 16,709.22 and 6,804.18 is: 9,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.70 : 16,709.22 = 6,804.18 : x
  2. Step 2: Convert to fraction form
    12,107.70/16,709.22 = 6,804.18/x
  3. Step 3: Cross multiply
    12,107.70x = 16,709.22 × 6,804.18
  4. Step 4: Simplify right side
    12,107.70x = 113,692,540.54
  5. Step 5: Solve for x
    x = 113,692,540.54/12,107.70
  6. Step 6: Final answer
    x = 9,390.10

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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.