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Finding the Fourth Proportional to 16,682.56, 23,022 and 9,609.40

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Solution

The fourth proportional to 16,682.56, 23,022 and 9,609.40 is: 13,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,682.56 : 23,022 = 9,609.40 : x
  2. Step 2: Convert to fraction form
    16,682.56/23,022 = 9,609.40/x
  3. Step 3: Cross multiply
    16,682.56x = 23,022 × 9,609.40
  4. Step 4: Simplify right side
    16,682.56x = 221,227,606.80
  5. Step 5: Solve for x
    x = 221,227,606.80/16,682.56
  6. Step 6: Final answer
    x = 13,261.01

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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.