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Finding the Fourth Proportional to 6,704.30, 9,252 and 3,720.42

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Solution

The fourth proportional to 6,704.30, 9,252 and 3,720.42 is: 5,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.30 : 9,252 = 3,720.42 : x
  2. Step 2: Convert to fraction form
    6,704.30/9,252 = 3,720.42/x
  3. Step 3: Cross multiply
    6,704.30x = 9,252 × 3,720.42
  4. Step 4: Simplify right side
    6,704.30x = 34,421,325.84
  5. Step 5: Solve for x
    x = 34,421,325.84/6,704.30
  6. Step 6: Final answer
    x = 5,134.21

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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.