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Finding the Fourth Proportional to 14,793.14, 20,414.13 and 8,078.42

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Solution

The fourth proportional to 14,793.14, 20,414.13 and 8,078.42 is: 11,148.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,793.14 : 20,414.13 = 8,078.42 : x
  2. Step 2: Convert to fraction form
    14,793.14/20,414.13 = 8,078.42/x
  3. Step 3: Cross multiply
    14,793.14x = 20,414.13 × 8,078.42
  4. Step 4: Simplify right side
    14,793.14x = 164,913,814.00
  5. Step 5: Solve for x
    x = 164,913,814.00/14,793.14
  6. Step 6: Final answer
    x = 11,148.00

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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.