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Finding the Fourth Proportional to 12,435.40, 17,163.78 and 7,723.24

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Solution

The fourth proportional to 12,435.40, 17,163.78 and 7,723.24 is: 10,659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.40 : 17,163.78 = 7,723.24 : x
  2. Step 2: Convert to fraction form
    12,435.40/17,163.78 = 7,723.24/x
  3. Step 3: Cross multiply
    12,435.40x = 17,163.78 × 7,723.24
  4. Step 4: Simplify right side
    12,435.40x = 132,559,992.25
  5. Step 5: Solve for x
    x = 132,559,992.25/12,435.40
  6. Step 6: Final answer
    x = 10,659.89

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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.