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Finding the Fourth Proportional to 6,767.05, 9,337.71 and 3,741.76

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Solution

The fourth proportional to 6,767.05, 9,337.71 and 3,741.76 is: 5,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.05 : 9,337.71 = 3,741.76 : x
  2. Step 2: Convert to fraction form
    6,767.05/9,337.71 = 3,741.76/x
  3. Step 3: Cross multiply
    6,767.05x = 9,337.71 × 3,741.76
  4. Step 4: Simplify right side
    6,767.05x = 34,939,469.77
  5. Step 5: Solve for x
    x = 34,939,469.77/6,767.05
  6. Step 6: Final answer
    x = 5,163.18

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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.