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Finding the Fourth Proportional to 6,642.33, 9,954.16 and 3,682.14

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Solution

The fourth proportional to 6,642.33, 9,954.16 and 3,682.14 is: 5,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.33 : 9,954.16 = 3,682.14 : x
  2. Step 2: Convert to fraction form
    6,642.33/9,954.16 = 3,682.14/x
  3. Step 3: Cross multiply
    6,642.33x = 9,954.16 × 3,682.14
  4. Step 4: Simplify right side
    6,642.33x = 36,652,610.70
  5. Step 5: Solve for x
    x = 36,652,610.70/6,642.33
  6. Step 6: Final answer
    x = 5,518.04

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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.