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Finding the Fourth Proportional to 12,107.60, 18,137.40 and 10,664.40

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Solution

The fourth proportional to 12,107.60, 18,137.40 and 10,664.40 is: 15,975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.60 : 18,137.40 = 10,664.40 : x
  2. Step 2: Convert to fraction form
    12,107.60/18,137.40 = 10,664.40/x
  3. Step 3: Cross multiply
    12,107.60x = 18,137.40 × 10,664.40
  4. Step 4: Simplify right side
    12,107.60x = 193,424,488.56
  5. Step 5: Solve for x
    x = 193,424,488.56/12,107.60
  6. Step 6: Final answer
    x = 15,975.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.