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Finding the Fourth Proportional to 14,794.50, 20,416.59 and 8,170.50

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Solution

The fourth proportional to 14,794.50, 20,416.59 and 8,170.50 is: 11,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794.50 : 20,416.59 = 8,170.50 : x
  2. Step 2: Convert to fraction form
    14,794.50/20,416.59 = 8,170.50/x
  3. Step 3: Cross multiply
    14,794.50x = 20,416.59 × 8,170.50
  4. Step 4: Simplify right side
    14,794.50x = 166,813,748.60
  5. Step 5: Solve for x
    x = 166,813,748.60/14,794.50
  6. Step 6: Final answer
    x = 11,275.39

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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.