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Finding the Fourth Proportional to 6,169.61, 8,516.84 and 3,934.49

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Solution

The fourth proportional to 6,169.61, 8,516.84 and 3,934.49 is: 5,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.61 : 8,516.84 = 3,934.49 : x
  2. Step 2: Convert to fraction form
    6,169.61/8,516.84 = 3,934.49/x
  3. Step 3: Cross multiply
    6,169.61x = 8,516.84 × 3,934.49
  4. Step 4: Simplify right side
    6,169.61x = 33,509,421.81
  5. Step 5: Solve for x
    x = 33,509,421.81/6,169.61
  6. Step 6: Final answer
    x = 5,431.37

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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.