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Finding the Fourth Proportional to 6,704.51, 9,252.05 and 3,720.24

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Solution

The fourth proportional to 6,704.51, 9,252.05 and 3,720.24 is: 5,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.51 : 9,252.05 = 3,720.24 : x
  2. Step 2: Convert to fraction form
    6,704.51/9,252.05 = 3,720.24/x
  3. Step 3: Cross multiply
    6,704.51x = 9,252.05 × 3,720.24
  4. Step 4: Simplify right side
    6,704.51x = 34,419,827.89
  5. Step 5: Solve for x
    x = 34,419,827.89/6,704.51
  6. Step 6: Final answer
    x = 5,133.84

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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.