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Finding the Fourth Proportional to 11,224.42, 16,811.72 and 7,262.94

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Solution

The fourth proportional to 11,224.42, 16,811.72 and 7,262.94 is: 10,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.42 : 16,811.72 = 7,262.94 : x
  2. Step 2: Convert to fraction form
    11,224.42/16,811.72 = 7,262.94/x
  3. Step 3: Cross multiply
    11,224.42x = 16,811.72 × 7,262.94
  4. Step 4: Simplify right side
    11,224.42x = 122,102,513.66
  5. Step 5: Solve for x
    x = 122,102,513.66/11,224.42
  6. Step 6: Final answer
    x = 10,878.29

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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.