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Finding the Fourth Proportional to 11,419, 17,114.40 and 8,114.20

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Solution

The fourth proportional to 11,419, 17,114.40 and 8,114.20 is: 12,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419 : 17,114.40 = 8,114.20 : x
  2. Step 2: Convert to fraction form
    11,419/17,114.40 = 8,114.20/x
  3. Step 3: Cross multiply
    11,419x = 17,114.40 × 8,114.20
  4. Step 4: Simplify right side
    11,419x = 138,869,664.48
  5. Step 5: Solve for x
    x = 138,869,664.48/11,419
  6. Step 6: Final answer
    x = 12,161.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.