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Finding the Fourth Proportional to 12,827.10, 19,213.71 and 8,144.71

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Solution

The fourth proportional to 12,827.10, 19,213.71 and 8,144.71 is: 12,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.10 : 19,213.71 = 8,144.71 : x
  2. Step 2: Convert to fraction form
    12,827.10/19,213.71 = 8,144.71/x
  3. Step 3: Cross multiply
    12,827.10x = 19,213.71 × 8,144.71
  4. Step 4: Simplify right side
    12,827.10x = 156,490,095.97
  5. Step 5: Solve for x
    x = 156,490,095.97/12,827.10
  6. Step 6: Final answer
    x = 12,199.96

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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.