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Finding the Fourth Proportional to 8,154.54, 12,231.54 and 2,311.74

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Solution

The fourth proportional to 8,154.54, 12,231.54 and 2,311.74 is: 3,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.54 : 12,231.54 = 2,311.74 : x
  2. Step 2: Convert to fraction form
    8,154.54/12,231.54 = 2,311.74/x
  3. Step 3: Cross multiply
    8,154.54x = 12,231.54 × 2,311.74
  4. Step 4: Simplify right side
    8,154.54x = 28,276,140.28
  5. Step 5: Solve for x
    x = 28,276,140.28/8,154.54
  6. Step 6: Final answer
    x = 3,467.53

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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.