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Finding the Fourth Proportional to 12,097.44, 16,695.18 and 7,383.24

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Solution

The fourth proportional to 12,097.44, 16,695.18 and 7,383.24 is: 10,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.44 : 16,695.18 = 7,383.24 : x
  2. Step 2: Convert to fraction form
    12,097.44/16,695.18 = 7,383.24/x
  3. Step 3: Cross multiply
    12,097.44x = 16,695.18 × 7,383.24
  4. Step 4: Simplify right side
    12,097.44x = 123,264,520.78
  5. Step 5: Solve for x
    x = 123,264,520.78/12,097.44
  6. Step 6: Final answer
    x = 10,189.31

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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.