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Finding the Fourth Proportional to 6,884.76, 9,500.90 and 3,740.94

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Solution

The fourth proportional to 6,884.76, 9,500.90 and 3,740.94 is: 5,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.76 : 9,500.90 = 3,740.94 : x
  2. Step 2: Convert to fraction form
    6,884.76/9,500.90 = 3,740.94/x
  3. Step 3: Cross multiply
    6,884.76x = 9,500.90 × 3,740.94
  4. Step 4: Simplify right side
    6,884.76x = 35,542,278.14
  5. Step 5: Solve for x
    x = 35,542,278.14/6,884.76
  6. Step 6: Final answer
    x = 5,162.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.