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Finding the Fourth Proportional to 16,242.78, 24,364.14 and 3,930.78

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Solution

The fourth proportional to 16,242.78, 24,364.14 and 3,930.78 is: 5,896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.78 : 24,364.14 = 3,930.78 : x
  2. Step 2: Convert to fraction form
    16,242.78/24,364.14 = 3,930.78/x
  3. Step 3: Cross multiply
    16,242.78x = 24,364.14 × 3,930.78
  4. Step 4: Simplify right side
    16,242.78x = 95,770,074.23
  5. Step 5: Solve for x
    x = 95,770,074.23/16,242.78
  6. Step 6: Final answer
    x = 5,896.16

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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.