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Finding the Fourth Proportional to 14,794.75, 20,416.86 and 8,507.17

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Solution

The fourth proportional to 14,794.75, 20,416.86 and 8,507.17 is: 11,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794.75 : 20,416.86 = 8,507.17 : x
  2. Step 2: Convert to fraction form
    14,794.75/20,416.86 = 8,507.17/x
  3. Step 3: Cross multiply
    14,794.75x = 20,416.86 × 8,507.17
  4. Step 4: Simplify right side
    14,794.75x = 173,689,698.89
  5. Step 5: Solve for x
    x = 173,689,698.89/14,794.75
  6. Step 6: Final answer
    x = 11,739.95

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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.