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Finding the Fourth Proportional to 9,794.84, 13,519.73 and 5,967.86

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Solution

The fourth proportional to 9,794.84, 13,519.73 and 5,967.86 is: 8,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.84 : 13,519.73 = 5,967.86 : x
  2. Step 2: Convert to fraction form
    9,794.84/13,519.73 = 5,967.86/x
  3. Step 3: Cross multiply
    9,794.84x = 13,519.73 × 5,967.86
  4. Step 4: Simplify right side
    9,794.84x = 80,683,826.04
  5. Step 5: Solve for x
    x = 80,683,826.04/9,794.84
  6. Step 6: Final answer
    x = 8,237.38

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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.