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Finding the Fourth Proportional to 13,730.56, 18,943.68 and 8,423.44

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Solution

The fourth proportional to 13,730.56, 18,943.68 and 8,423.44 is: 11,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.56 : 18,943.68 = 8,423.44 : x
  2. Step 2: Convert to fraction form
    13,730.56/18,943.68 = 8,423.44/x
  3. Step 3: Cross multiply
    13,730.56x = 18,943.68 × 8,423.44
  4. Step 4: Simplify right side
    13,730.56x = 159,570,951.86
  5. Step 5: Solve for x
    x = 159,570,951.86/13,730.56
  6. Step 6: Final answer
    x = 11,621.59

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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.