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Finding the Fourth Proportional to 12,846.64, 17,728.10 and 7,181.48

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Solution

The fourth proportional to 12,846.64, 17,728.10 and 7,181.48 is: 9,910.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.64 : 17,728.10 = 7,181.48 : x
  2. Step 2: Convert to fraction form
    12,846.64/17,728.10 = 7,181.48/x
  3. Step 3: Cross multiply
    12,846.64x = 17,728.10 × 7,181.48
  4. Step 4: Simplify right side
    12,846.64x = 127,313,995.59
  5. Step 5: Solve for x
    x = 127,313,995.59/12,846.64
  6. Step 6: Final answer
    x = 9,910.30

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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.