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Finding the Fourth Proportional to 5,674.62, 8,497.34 and 3,476.68

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Solution

The fourth proportional to 5,674.62, 8,497.34 and 3,476.68 is: 5,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.62 : 8,497.34 = 3,476.68 : x
  2. Step 2: Convert to fraction form
    5,674.62/8,497.34 = 3,476.68/x
  3. Step 3: Cross multiply
    5,674.62x = 8,497.34 × 3,476.68
  4. Step 4: Simplify right side
    5,674.62x = 29,542,532.03
  5. Step 5: Solve for x
    x = 29,542,532.03/5,674.62
  6. Step 6: Final answer
    x = 5,206.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.