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Finding the Fourth Proportional to 6,327.33, 9,487.65 and 3,164.28

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Solution

The fourth proportional to 6,327.33, 9,487.65 and 3,164.28 is: 4,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.33 : 9,487.65 = 3,164.28 : x
  2. Step 2: Convert to fraction form
    6,327.33/9,487.65 = 3,164.28/x
  3. Step 3: Cross multiply
    6,327.33x = 9,487.65 × 3,164.28
  4. Step 4: Simplify right side
    6,327.33x = 30,021,581.14
  5. Step 5: Solve for x
    x = 30,021,581.14/6,327.33
  6. Step 6: Final answer
    x = 4,744.75

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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.