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Finding the Fourth Proportional to 11,438.42, 17,164.22 and 6,173.42

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Solution

The fourth proportional to 11,438.42, 17,164.22 and 6,173.42 is: 9,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.42 : 17,164.22 = 6,173.42 : x
  2. Step 2: Convert to fraction form
    11,438.42/17,164.22 = 6,173.42/x
  3. Step 3: Cross multiply
    11,438.42x = 17,164.22 × 6,173.42
  4. Step 4: Simplify right side
    11,438.42x = 105,961,939.03
  5. Step 5: Solve for x
    x = 105,961,939.03/11,438.42
  6. Step 6: Final answer
    x = 9,263.69

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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.