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Finding the Fourth Proportional to 6,520.42, 9,770.82 and 6,034.42

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Solution

The fourth proportional to 6,520.42, 9,770.82 and 6,034.42 is: 9,042.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.42 : 9,770.82 = 6,034.42 : x
  2. Step 2: Convert to fraction form
    6,520.42/9,770.82 = 6,034.42/x
  3. Step 3: Cross multiply
    6,520.42x = 9,770.82 × 6,034.42
  4. Step 4: Simplify right side
    6,520.42x = 58,961,231.62
  5. Step 5: Solve for x
    x = 58,961,231.62/6,520.42
  6. Step 6: Final answer
    x = 9,042.55

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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.