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Finding the Fourth Proportional to 11,737.94, 16,198.14 and 7,260.52

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Solution

The fourth proportional to 11,737.94, 16,198.14 and 7,260.52 is: 10,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.94 : 16,198.14 = 7,260.52 : x
  2. Step 2: Convert to fraction form
    11,737.94/16,198.14 = 7,260.52/x
  3. Step 3: Cross multiply
    11,737.94x = 16,198.14 × 7,260.52
  4. Step 4: Simplify right side
    11,737.94x = 117,606,878.94
  5. Step 5: Solve for x
    x = 117,606,878.94/11,737.94
  6. Step 6: Final answer
    x = 10,019.38

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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.