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Finding the Fourth Proportional to 11,797.14, 16,274.61 and 7,606.74

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Solution

The fourth proportional to 11,797.14, 16,274.61 and 7,606.74 is: 10,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.14 : 16,274.61 = 7,606.74 : x
  2. Step 2: Convert to fraction form
    11,797.14/16,274.61 = 7,606.74/x
  3. Step 3: Cross multiply
    11,797.14x = 16,274.61 × 7,606.74
  4. Step 4: Simplify right side
    11,797.14x = 123,796,726.87
  5. Step 5: Solve for x
    x = 123,796,726.87/11,797.14
  6. Step 6: Final answer
    x = 10,493.79

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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.