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Finding the Fourth Proportional to 13,711.69, 18,922.13 and 7,424.06

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Solution

The fourth proportional to 13,711.69, 18,922.13 and 7,424.06 is: 10,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.69 : 18,922.13 = 7,424.06 : x
  2. Step 2: Convert to fraction form
    13,711.69/18,922.13 = 7,424.06/x
  3. Step 3: Cross multiply
    13,711.69x = 18,922.13 × 7,424.06
  4. Step 4: Simplify right side
    13,711.69x = 140,479,028.45
  5. Step 5: Solve for x
    x = 140,479,028.45/13,711.69
  6. Step 6: Final answer
    x = 10,245.20

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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.