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Finding the Fourth Proportional to 16,174, 22,321.16 and 9,804.96

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Solution

The fourth proportional to 16,174, 22,321.16 and 9,804.96 is: 13,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174 : 22,321.16 = 9,804.96 : x
  2. Step 2: Convert to fraction form
    16,174/22,321.16 = 9,804.96/x
  3. Step 3: Cross multiply
    16,174x = 22,321.16 × 9,804.96
  4. Step 4: Simplify right side
    16,174x = 218,858,080.95
  5. Step 5: Solve for x
    x = 218,858,080.95/16,174
  6. Step 6: Final answer
    x = 13,531.48

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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.