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Finding the Fourth Proportional to 7,796.97, 10,757.43 and 5,403.24

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Solution

The fourth proportional to 7,796.97, 10,757.43 and 5,403.24 is: 7,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.97 : 10,757.43 = 5,403.24 : x
  2. Step 2: Convert to fraction form
    7,796.97/10,757.43 = 5,403.24/x
  3. Step 3: Cross multiply
    7,796.97x = 10,757.43 × 5,403.24
  4. Step 4: Simplify right side
    7,796.97x = 58,124,976.07
  5. Step 5: Solve for x
    x = 58,124,976.07/7,796.97
  6. Step 6: Final answer
    x = 7,454.82

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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.