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Finding the Fourth Proportional to 12,614.76, 18,922.74 and 4,824.24

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Solution

The fourth proportional to 12,614.76, 18,922.74 and 4,824.24 is: 7,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.76 : 18,922.74 = 4,824.24 : x
  2. Step 2: Convert to fraction form
    12,614.76/18,922.74 = 4,824.24/x
  3. Step 3: Cross multiply
    12,614.76x = 18,922.74 × 4,824.24
  4. Step 4: Simplify right side
    12,614.76x = 91,287,839.22
  5. Step 5: Solve for x
    x = 91,287,839.22/12,614.76
  6. Step 6: Final answer
    x = 7,236.59

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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.