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Finding the Fourth Proportional to 14,342.67, 19,791.71 and 7,969.45

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Solution

The fourth proportional to 14,342.67, 19,791.71 and 7,969.45 is: 10,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.67 : 19,791.71 = 7,969.45 : x
  2. Step 2: Convert to fraction form
    14,342.67/19,791.71 = 7,969.45/x
  3. Step 3: Cross multiply
    14,342.67x = 19,791.71 × 7,969.45
  4. Step 4: Simplify right side
    14,342.67x = 157,729,003.41
  5. Step 5: Solve for x
    x = 157,729,003.41/14,342.67
  6. Step 6: Final answer
    x = 10,997.19

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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.