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Finding the Fourth Proportional to 13,711.70, 18,922.22 and 7,424.07

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Solution

The fourth proportional to 13,711.70, 18,922.22 and 7,424.07 is: 10,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.70 : 18,922.22 = 7,424.07 : x
  2. Step 2: Convert to fraction form
    13,711.70/18,922.22 = 7,424.07/x
  3. Step 3: Cross multiply
    13,711.70x = 18,922.22 × 7,424.07
  4. Step 4: Simplify right side
    13,711.70x = 140,479,848.72
  5. Step 5: Solve for x
    x = 140,479,848.72/13,711.70
  6. Step 6: Final answer
    x = 10,245.26

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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.