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Finding the Fourth Proportional to 6,468.62, 8,926.70 and 3,674.12

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Solution

The fourth proportional to 6,468.62, 8,926.70 and 3,674.12 is: 5,070.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.62 : 8,926.70 = 3,674.12 : x
  2. Step 2: Convert to fraction form
    6,468.62/8,926.70 = 3,674.12/x
  3. Step 3: Cross multiply
    6,468.62x = 8,926.70 × 3,674.12
  4. Step 4: Simplify right side
    6,468.62x = 32,797,704.00
  5. Step 5: Solve for x
    x = 32,797,704.00/6,468.62
  6. Step 6: Final answer
    x = 5,070.28

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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.