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Finding the Fourth Proportional to 11,849.70, 16,360.26 and 7,375.26

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Solution

The fourth proportional to 11,849.70, 16,360.26 and 7,375.26 is: 10,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.70 : 16,360.26 = 7,375.26 : x
  2. Step 2: Convert to fraction form
    11,849.70/16,360.26 = 7,375.26/x
  3. Step 3: Cross multiply
    11,849.70x = 16,360.26 × 7,375.26
  4. Step 4: Simplify right side
    11,849.70x = 120,661,171.17
  5. Step 5: Solve for x
    x = 120,661,171.17/11,849.70
  6. Step 6: Final answer
    x = 10,182.64

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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.