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Finding the Fourth Proportional to 14,301.66, 19,735.94 and 7,928.14

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Solution

The fourth proportional to 14,301.66, 19,735.94 and 7,928.14 is: 10,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301.66 : 19,735.94 = 7,928.14 : x
  2. Step 2: Convert to fraction form
    14,301.66/19,735.94 = 7,928.14/x
  3. Step 3: Cross multiply
    14,301.66x = 19,735.94 × 7,928.14
  4. Step 4: Simplify right side
    14,301.66x = 156,469,265.83
  5. Step 5: Solve for x
    x = 156,469,265.83/14,301.66
  6. Step 6: Final answer
    x = 10,940.63

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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.