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Finding the Fourth Proportional to 14,114.70, 19,469.70 and 8,446.32

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Solution

The fourth proportional to 14,114.70, 19,469.70 and 8,446.32 is: 11,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.70 : 19,469.70 = 8,446.32 : x
  2. Step 2: Convert to fraction form
    14,114.70/19,469.70 = 8,446.32/x
  3. Step 3: Cross multiply
    14,114.70x = 19,469.70 × 8,446.32
  4. Step 4: Simplify right side
    14,114.70x = 164,447,316.50
  5. Step 5: Solve for x
    x = 164,447,316.50/14,114.70
  6. Step 6: Final answer
    x = 11,650.78

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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.