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Finding the Fourth Proportional to 4,006.75, 5,529 and 2,214.22

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Solution

The fourth proportional to 4,006.75, 5,529 and 2,214.22 is: 3,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.75 : 5,529 = 2,214.22 : x
  2. Step 2: Convert to fraction form
    4,006.75/5,529 = 2,214.22/x
  3. Step 3: Cross multiply
    4,006.75x = 5,529 × 2,214.22
  4. Step 4: Simplify right side
    4,006.75x = 12,242,408.56
  5. Step 5: Solve for x
    x = 12,242,408.56/4,006.75
  6. Step 6: Final answer
    x = 3,055.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.