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Finding the Fourth Proportional to 4,645.48, 6,962.14 and 3,991.84

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Solution

The fourth proportional to 4,645.48, 6,962.14 and 3,991.84 is: 5,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.48 : 6,962.14 = 3,991.84 : x
  2. Step 2: Convert to fraction form
    4,645.48/6,962.14 = 3,991.84/x
  3. Step 3: Cross multiply
    4,645.48x = 6,962.14 × 3,991.84
  4. Step 4: Simplify right side
    4,645.48x = 27,791,748.94
  5. Step 5: Solve for x
    x = 27,791,748.94/4,645.48
  6. Step 6: Final answer
    x = 5,982.54

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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.