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Finding the Fourth Proportional to 6,553.75, 9,822.43 and 5,161.59

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Solution

The fourth proportional to 6,553.75, 9,822.43 and 5,161.59 is: 7,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.75 : 9,822.43 = 5,161.59 : x
  2. Step 2: Convert to fraction form
    6,553.75/9,822.43 = 5,161.59/x
  3. Step 3: Cross multiply
    6,553.75x = 9,822.43 × 5,161.59
  4. Step 4: Simplify right side
    6,553.75x = 50,699,356.46
  5. Step 5: Solve for x
    x = 50,699,356.46/6,553.75
  6. Step 6: Final answer
    x = 7,735.93

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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.