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Finding the Fourth Proportional to 12,274.30, 16,932.74 and 8,296.80

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Solution

The fourth proportional to 12,274.30, 16,932.74 and 8,296.80 is: 11,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.30 : 16,932.74 = 8,296.80 : x
  2. Step 2: Convert to fraction form
    12,274.30/16,932.74 = 8,296.80/x
  3. Step 3: Cross multiply
    12,274.30x = 16,932.74 × 8,296.80
  4. Step 4: Simplify right side
    12,274.30x = 140,487,557.23
  5. Step 5: Solve for x
    x = 140,487,557.23/12,274.30
  6. Step 6: Final answer
    x = 11,445.67

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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.