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Finding the Fourth Proportional to 22,125.32, 33,191.10 and 8,273

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Solution

The fourth proportional to 22,125.32, 33,191.10 and 8,273 is: 12,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,125.32 : 33,191.10 = 8,273 : x
  2. Step 2: Convert to fraction form
    22,125.32/33,191.10 = 8,273/x
  3. Step 3: Cross multiply
    22,125.32x = 33,191.10 × 8,273
  4. Step 4: Simplify right side
    22,125.32x = 274,589,970.30
  5. Step 5: Solve for x
    x = 274,589,970.30/22,125.32
  6. Step 6: Final answer
    x = 12,410.67

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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.