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Finding the Fourth Proportional to 7,219.24, 9,963.13 and 5,739.37

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Solution

The fourth proportional to 7,219.24, 9,963.13 and 5,739.37 is: 7,920.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.24 : 9,963.13 = 5,739.37 : x
  2. Step 2: Convert to fraction form
    7,219.24/9,963.13 = 5,739.37/x
  3. Step 3: Cross multiply
    7,219.24x = 9,963.13 × 5,739.37
  4. Step 4: Simplify right side
    7,219.24x = 57,182,089.43
  5. Step 5: Solve for x
    x = 57,182,089.43/7,219.24
  6. Step 6: Final answer
    x = 7,920.79

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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.