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Finding the Fourth Proportional to 12,167.44, 18,271.94 and 7,267.48

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Solution

The fourth proportional to 12,167.44, 18,271.94 and 7,267.48 is: 10,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.44 : 18,271.94 = 7,267.48 : x
  2. Step 2: Convert to fraction form
    12,167.44/18,271.94 = 7,267.48/x
  3. Step 3: Cross multiply
    12,167.44x = 18,271.94 × 7,267.48
  4. Step 4: Simplify right side
    12,167.44x = 132,790,958.51
  5. Step 5: Solve for x
    x = 132,790,958.51/12,167.44
  6. Step 6: Final answer
    x = 10,913.63

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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.