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Finding the Fourth Proportional to 5,991.83, 8,963.66 and 5,178.83

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Solution

The fourth proportional to 5,991.83, 8,963.66 and 5,178.83 is: 7,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991.83 : 8,963.66 = 5,178.83 : x
  2. Step 2: Convert to fraction form
    5,991.83/8,963.66 = 5,178.83/x
  3. Step 3: Cross multiply
    5,991.83x = 8,963.66 × 5,178.83
  4. Step 4: Simplify right side
    5,991.83x = 46,421,245.42
  5. Step 5: Solve for x
    x = 46,421,245.42/5,991.83
  6. Step 6: Final answer
    x = 7,747.42

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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.