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Finding the Fourth Proportional to 8,471.63, 12,701.91 and 4,084.94

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Solution

The fourth proportional to 8,471.63, 12,701.91 and 4,084.94 is: 6,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.63 : 12,701.91 = 4,084.94 : x
  2. Step 2: Convert to fraction form
    8,471.63/12,701.91 = 4,084.94/x
  3. Step 3: Cross multiply
    8,471.63x = 12,701.91 × 4,084.94
  4. Step 4: Simplify right side
    8,471.63x = 51,886,571.99
  5. Step 5: Solve for x
    x = 51,886,571.99/8,471.63
  6. Step 6: Final answer
    x = 6,124.74

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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.