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Finding the Fourth Proportional to 11,897.70, 17,846.16 and 5,662.20

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Solution

The fourth proportional to 11,897.70, 17,846.16 and 5,662.20 is: 8,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.70 : 17,846.16 = 5,662.20 : x
  2. Step 2: Convert to fraction form
    11,897.70/17,846.16 = 5,662.20/x
  3. Step 3: Cross multiply
    11,897.70x = 17,846.16 × 5,662.20
  4. Step 4: Simplify right side
    11,897.70x = 101,048,527.15
  5. Step 5: Solve for x
    x = 101,048,527.15/11,897.70
  6. Step 6: Final answer
    x = 8,493.11

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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.