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Finding the Fourth Proportional to 7,572.88, 11,351.22 and 3,827.44

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Solution

The fourth proportional to 7,572.88, 11,351.22 and 3,827.44 is: 5,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.88 : 11,351.22 = 3,827.44 : x
  2. Step 2: Convert to fraction form
    7,572.88/11,351.22 = 3,827.44/x
  3. Step 3: Cross multiply
    7,572.88x = 11,351.22 × 3,827.44
  4. Step 4: Simplify right side
    7,572.88x = 43,446,113.48
  5. Step 5: Solve for x
    x = 43,446,113.48/7,572.88
  6. Step 6: Final answer
    x = 5,737.07

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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.