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Finding the Fourth Proportional to 13,344.50, 18,415.41 and 7,456.50

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Solution

The fourth proportional to 13,344.50, 18,415.41 and 7,456.50 is: 10,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344.50 : 18,415.41 = 7,456.50 : x
  2. Step 2: Convert to fraction form
    13,344.50/18,415.41 = 7,456.50/x
  3. Step 3: Cross multiply
    13,344.50x = 18,415.41 × 7,456.50
  4. Step 4: Simplify right side
    13,344.50x = 137,314,504.67
  5. Step 5: Solve for x
    x = 137,314,504.67/13,344.50
  6. Step 6: Final answer
    x = 10,289.97

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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.