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Finding the Fourth Proportional to 11,897.70, 17,846.55 and 11,217.30

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Solution

The fourth proportional to 11,897.70, 17,846.55 and 11,217.30 is: 16,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.70 : 17,846.55 = 11,217.30 : x
  2. Step 2: Convert to fraction form
    11,897.70/17,846.55 = 11,217.30/x
  3. Step 3: Cross multiply
    11,897.70x = 17,846.55 × 11,217.30
  4. Step 4: Simplify right side
    11,897.70x = 200,190,105.32
  5. Step 5: Solve for x
    x = 200,190,105.32/11,897.70
  6. Step 6: Final answer
    x = 16,825.95

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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.