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Finding the Fourth Proportional to 14,342.40, 19,791 and 7,968.96

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Solution

The fourth proportional to 14,342.40, 19,791 and 7,968.96 is: 10,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.40 : 19,791 = 7,968.96 : x
  2. Step 2: Convert to fraction form
    14,342.40/19,791 = 7,968.96/x
  3. Step 3: Cross multiply
    14,342.40x = 19,791 × 7,968.96
  4. Step 4: Simplify right side
    14,342.40x = 157,713,687.36
  5. Step 5: Solve for x
    x = 157,713,687.36/14,342.40
  6. Step 6: Final answer
    x = 10,996.32

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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.