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Finding the Fourth Proportional to 7,168.22, 9,892.00 and 4,024.41

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Solution

The fourth proportional to 7,168.22, 9,892.00 and 4,024.41 is: 5,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.22 : 9,892.00 = 4,024.41 : x
  2. Step 2: Convert to fraction form
    7,168.22/9,892.00 = 4,024.41/x
  3. Step 3: Cross multiply
    7,168.22x = 9,892.00 × 4,024.41
  4. Step 4: Simplify right side
    7,168.22x = 39,809,468.75
  5. Step 5: Solve for x
    x = 39,809,468.75/7,168.22
  6. Step 6: Final answer
    x = 5,553.60

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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.