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Finding the Fourth Proportional to 12,523.44, 17,282.53 and 6,858.07

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Solution

The fourth proportional to 12,523.44, 17,282.53 and 6,858.07 is: 9,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.44 : 17,282.53 = 6,858.07 : x
  2. Step 2: Convert to fraction form
    12,523.44/17,282.53 = 6,858.07/x
  3. Step 3: Cross multiply
    12,523.44x = 17,282.53 × 6,858.07
  4. Step 4: Simplify right side
    12,523.44x = 118,524,765.88
  5. Step 5: Solve for x
    x = 118,524,765.88/12,523.44
  6. Step 6: Final answer
    x = 9,464.23

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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.