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Finding the Fourth Proportional to 11,241.40, 16,847.52 and 7,538.08

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Solution

The fourth proportional to 11,241.40, 16,847.52 and 7,538.08 is: 11,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.40 : 16,847.52 = 7,538.08 : x
  2. Step 2: Convert to fraction form
    11,241.40/16,847.52 = 7,538.08/x
  3. Step 3: Cross multiply
    11,241.40x = 16,847.52 × 7,538.08
  4. Step 4: Simplify right side
    11,241.40x = 126,997,953.56
  5. Step 5: Solve for x
    x = 126,997,953.56/11,241.40
  6. Step 6: Final answer
    x = 11,297.34

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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.