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Finding the Fourth Proportional to 12,094.68, 18,137.42 and 7,165.68

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Solution

The fourth proportional to 12,094.68, 18,137.42 and 7,165.68 is: 10,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.68 : 18,137.42 = 7,165.68 : x
  2. Step 2: Convert to fraction form
    12,094.68/18,137.42 = 7,165.68/x
  3. Step 3: Cross multiply
    12,094.68x = 18,137.42 × 7,165.68
  4. Step 4: Simplify right side
    12,094.68x = 129,966,947.75
  5. Step 5: Solve for x
    x = 129,966,947.75/12,094.68
  6. Step 6: Final answer
    x = 10,745.79

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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.