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Finding the Fourth Proportional to 14,342.92, 19,792.94 and 7,969.52

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Solution

The fourth proportional to 14,342.92, 19,792.94 and 7,969.52 is: 10,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.92 : 19,792.94 = 7,969.52 : x
  2. Step 2: Convert to fraction form
    14,342.92/19,792.94 = 7,969.52/x
  3. Step 3: Cross multiply
    14,342.92x = 19,792.94 × 7,969.52
  4. Step 4: Simplify right side
    14,342.92x = 157,740,231.19
  5. Step 5: Solve for x
    x = 157,740,231.19/14,342.92
  6. Step 6: Final answer
    x = 10,997.78

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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.