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Finding the Fourth Proportional to 6,906.70, 10,354.20 and 2,521.60

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Solution

The fourth proportional to 6,906.70, 10,354.20 and 2,521.60 is: 3,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.70 : 10,354.20 = 2,521.60 : x
  2. Step 2: Convert to fraction form
    6,906.70/10,354.20 = 2,521.60/x
  3. Step 3: Cross multiply
    6,906.70x = 10,354.20 × 2,521.60
  4. Step 4: Simplify right side
    6,906.70x = 26,109,150.72
  5. Step 5: Solve for x
    x = 26,109,150.72/6,906.70
  6. Step 6: Final answer
    x = 3,780.26

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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.