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Finding the Fourth Proportional to 16,161, 22,301.92 and 9,087.40

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Solution

The fourth proportional to 16,161, 22,301.92 and 9,087.40 is: 12,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161 : 22,301.92 = 9,087.40 : x
  2. Step 2: Convert to fraction form
    16,161/22,301.92 = 9,087.40/x
  3. Step 3: Cross multiply
    16,161x = 22,301.92 × 9,087.40
  4. Step 4: Simplify right side
    16,161x = 202,666,467.81
  5. Step 5: Solve for x
    x = 202,666,467.81/16,161
  6. Step 6: Final answer
    x = 12,540.47

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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.