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Finding the Fourth Proportional to 6,497.91, 8,967.38 and 3,666.42

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Solution

The fourth proportional to 6,497.91, 8,967.38 and 3,666.42 is: 5,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.91 : 8,967.38 = 3,666.42 : x
  2. Step 2: Convert to fraction form
    6,497.91/8,967.38 = 3,666.42/x
  3. Step 3: Cross multiply
    6,497.91x = 8,967.38 × 3,666.42
  4. Step 4: Simplify right side
    6,497.91x = 32,878,163.05
  5. Step 5: Solve for x
    x = 32,878,163.05/6,497.91
  6. Step 6: Final answer
    x = 5,059.81

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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.