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Finding the Fourth Proportional to 11,642.96, 17,463.48 and 3,849.20

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Solution

The fourth proportional to 11,642.96, 17,463.48 and 3,849.20 is: 5,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.96 : 17,463.48 = 3,849.20 : x
  2. Step 2: Convert to fraction form
    11,642.96/17,463.48 = 3,849.20/x
  3. Step 3: Cross multiply
    11,642.96x = 17,463.48 × 3,849.20
  4. Step 4: Simplify right side
    11,642.96x = 67,220,427.22
  5. Step 5: Solve for x
    x = 67,220,427.22/11,642.96
  6. Step 6: Final answer
    x = 5,773.48

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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.