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Finding the Fourth Proportional to 7,067.52, 9,744 and 4,707.84

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Solution

The fourth proportional to 7,067.52, 9,744 and 4,707.84 is: 6,490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.52 : 9,744 = 4,707.84 : x
  2. Step 2: Convert to fraction form
    7,067.52/9,744 = 4,707.84/x
  3. Step 3: Cross multiply
    7,067.52x = 9,744 × 4,707.84
  4. Step 4: Simplify right side
    7,067.52x = 45,873,192.96
  5. Step 5: Solve for x
    x = 45,873,192.96/7,067.52
  6. Step 6: Final answer
    x = 6,490.71

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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.