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Finding the Fourth Proportional to 6,942.76, 10,415.10 and 2,327.08

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Solution

The fourth proportional to 6,942.76, 10,415.10 and 2,327.08 is: 3,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.76 : 10,415.10 = 2,327.08 : x
  2. Step 2: Convert to fraction form
    6,942.76/10,415.10 = 2,327.08/x
  3. Step 3: Cross multiply
    6,942.76x = 10,415.10 × 2,327.08
  4. Step 4: Simplify right side
    6,942.76x = 24,236,770.91
  5. Step 5: Solve for x
    x = 24,236,770.91/6,942.76
  6. Step 6: Final answer
    x = 3,490.94

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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.