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Finding the Fourth Proportional to 30,951.86, 46,423.67 and 8,767.17

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Solution

The fourth proportional to 30,951.86, 46,423.67 and 8,767.17 is: 13,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951.86 : 46,423.67 = 8,767.17 : x
  2. Step 2: Convert to fraction form
    30,951.86/46,423.67 = 8,767.17/x
  3. Step 3: Cross multiply
    30,951.86x = 46,423.67 × 8,767.17
  4. Step 4: Simplify right side
    30,951.86x = 407,004,163.08
  5. Step 5: Solve for x
    x = 407,004,163.08/30,951.86
  6. Step 6: Final answer
    x = 13,149.59

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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.