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Finding the Fourth Proportional to 6,770.81, 10,156.14 and 1,840.46

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Solution

The fourth proportional to 6,770.81, 10,156.14 and 1,840.46 is: 2,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.81 : 10,156.14 = 1,840.46 : x
  2. Step 2: Convert to fraction form
    6,770.81/10,156.14 = 1,840.46/x
  3. Step 3: Cross multiply
    6,770.81x = 10,156.14 × 1,840.46
  4. Step 4: Simplify right side
    6,770.81x = 18,691,918.64
  5. Step 5: Solve for x
    x = 18,691,918.64/6,770.81
  6. Step 6: Final answer
    x = 2,760.66

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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.