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Finding the Fourth Proportional to 14,794.43, 20,415.54 and 8,078.76

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Solution

The fourth proportional to 14,794.43, 20,415.54 and 8,078.76 is: 11,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794.43 : 20,415.54 = 8,078.76 : x
  2. Step 2: Convert to fraction form
    14,794.43/20,415.54 = 8,078.76/x
  3. Step 3: Cross multiply
    14,794.43x = 20,415.54 × 8,078.76
  4. Step 4: Simplify right side
    14,794.43x = 164,932,247.93
  5. Step 5: Solve for x
    x = 164,932,247.93/14,794.43
  6. Step 6: Final answer
    x = 11,148.27

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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.