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Finding the Fourth Proportional to 16,177, 22,324.80 and 9,888.16

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Solution

The fourth proportional to 16,177, 22,324.80 and 9,888.16 is: 13,645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177 : 22,324.80 = 9,888.16 : x
  2. Step 2: Convert to fraction form
    16,177/22,324.80 = 9,888.16/x
  3. Step 3: Cross multiply
    16,177x = 22,324.80 × 9,888.16
  4. Step 4: Simplify right side
    16,177x = 220,751,194.37
  5. Step 5: Solve for x
    x = 220,751,194.37/16,177
  6. Step 6: Final answer
    x = 13,645.99

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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.