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Finding the Fourth Proportional to 11,774.44, 17,666.22 and 5,195.98

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Solution

The fourth proportional to 11,774.44, 17,666.22 and 5,195.98 is: 7,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.44 : 17,666.22 = 5,195.98 : x
  2. Step 2: Convert to fraction form
    11,774.44/17,666.22 = 5,195.98/x
  3. Step 3: Cross multiply
    11,774.44x = 17,666.22 × 5,195.98
  4. Step 4: Simplify right side
    11,774.44x = 91,793,325.80
  5. Step 5: Solve for x
    x = 91,793,325.80/11,774.44
  6. Step 6: Final answer
    x = 7,795.98

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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.