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Finding the Fourth Proportional to 11,446.80, 17,170.20 and 6,838.80

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Solution

The fourth proportional to 11,446.80, 17,170.20 and 6,838.80 is: 10,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.80 : 17,170.20 = 6,838.80 : x
  2. Step 2: Convert to fraction form
    11,446.80/17,170.20 = 6,838.80/x
  3. Step 3: Cross multiply
    11,446.80x = 17,170.20 × 6,838.80
  4. Step 4: Simplify right side
    11,446.80x = 117,423,563.76
  5. Step 5: Solve for x
    x = 117,423,563.76/11,446.80
  6. Step 6: Final answer
    x = 10,258.20

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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.