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Finding the Fourth Proportional to 7,124.90, 9,825.97 and 5,933.82

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Solution

The fourth proportional to 7,124.90, 9,825.97 and 5,933.82 is: 8,183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.90 : 9,825.97 = 5,933.82 : x
  2. Step 2: Convert to fraction form
    7,124.90/9,825.97 = 5,933.82/x
  3. Step 3: Cross multiply
    7,124.90x = 9,825.97 × 5,933.82
  4. Step 4: Simplify right side
    7,124.90x = 58,305,537.31
  5. Step 5: Solve for x
    x = 58,305,537.31/7,124.90
  6. Step 6: Final answer
    x = 8,183.35

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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.