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Finding the Fourth Proportional to 12,452.75, 18,632.99 and 9,980.07

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Solution

The fourth proportional to 12,452.75, 18,632.99 and 9,980.07 is: 14,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.75 : 18,632.99 = 9,980.07 : x
  2. Step 2: Convert to fraction form
    12,452.75/18,632.99 = 9,980.07/x
  3. Step 3: Cross multiply
    12,452.75x = 18,632.99 × 9,980.07
  4. Step 4: Simplify right side
    12,452.75x = 185,958,401.44
  5. Step 5: Solve for x
    x = 185,958,401.44/12,452.75
  6. Step 6: Final answer
    x = 14,933.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.