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Finding the Fourth Proportional to 6,961.80, 10,442.70 and 5,212.20

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Solution

The fourth proportional to 6,961.80, 10,442.70 and 5,212.20 is: 7,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.80 : 10,442.70 = 5,212.20 : x
  2. Step 2: Convert to fraction form
    6,961.80/10,442.70 = 5,212.20/x
  3. Step 3: Cross multiply
    6,961.80x = 10,442.70 × 5,212.20
  4. Step 4: Simplify right side
    6,961.80x = 54,429,440.94
  5. Step 5: Solve for x
    x = 54,429,440.94/6,961.80
  6. Step 6: Final answer
    x = 7,818.30

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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.