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Finding the Fourth Proportional to 14,227.61, 19,634.96 and 7,940.39

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Solution

The fourth proportional to 14,227.61, 19,634.96 and 7,940.39 is: 10,958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.61 : 19,634.96 = 7,940.39 : x
  2. Step 2: Convert to fraction form
    14,227.61/19,634.96 = 7,940.39/x
  3. Step 3: Cross multiply
    14,227.61x = 19,634.96 × 7,940.39
  4. Step 4: Simplify right side
    14,227.61x = 155,909,200.33
  5. Step 5: Solve for x
    x = 155,909,200.33/14,227.61
  6. Step 6: Final answer
    x = 10,958.21

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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.