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Finding the Fourth Proportional to 19,645.36, 29,469 and 9,659.20

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Solution

The fourth proportional to 19,645.36, 29,469 and 9,659.20 is: 14,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.36 : 29,469 = 9,659.20 : x
  2. Step 2: Convert to fraction form
    19,645.36/29,469 = 9,659.20/x
  3. Step 3: Cross multiply
    19,645.36x = 29,469 × 9,659.20
  4. Step 4: Simplify right side
    19,645.36x = 284,646,964.80
  5. Step 5: Solve for x
    x = 284,646,964.80/19,645.36
  6. Step 6: Final answer
    x = 14,489.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.