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Finding the Fourth Proportional to 6,704.96, 9,253.16 and 3,720.82

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Solution

The fourth proportional to 6,704.96, 9,253.16 and 3,720.82 is: 5,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.96 : 9,253.16 = 3,720.82 : x
  2. Step 2: Convert to fraction form
    6,704.96/9,253.16 = 3,720.82/x
  3. Step 3: Cross multiply
    6,704.96x = 9,253.16 × 3,720.82
  4. Step 4: Simplify right side
    6,704.96x = 34,429,315.01
  5. Step 5: Solve for x
    x = 34,429,315.01/6,704.96
  6. Step 6: Final answer
    x = 5,134.90

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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.