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Finding the Fourth Proportional to 16,683, 23,022.63 and 9,609.36

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Solution

The fourth proportional to 16,683, 23,022.63 and 9,609.36 is: 13,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,683 : 23,022.63 = 9,609.36 : x
  2. Step 2: Convert to fraction form
    16,683/23,022.63 = 9,609.36/x
  3. Step 3: Cross multiply
    16,683x = 23,022.63 × 9,609.36
  4. Step 4: Simplify right side
    16,683x = 221,232,739.82
  5. Step 5: Solve for x
    x = 221,232,739.82/16,683
  6. Step 6: Final answer
    x = 13,260.97

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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.