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Finding the Fourth Proportional to 11,567.64, 17,344.44 and 3,775.44

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Solution

The fourth proportional to 11,567.64, 17,344.44 and 3,775.44 is: 5,660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.64 : 17,344.44 = 3,775.44 : x
  2. Step 2: Convert to fraction form
    11,567.64/17,344.44 = 3,775.44/x
  3. Step 3: Cross multiply
    11,567.64x = 17,344.44 × 3,775.44
  4. Step 4: Simplify right side
    11,567.64x = 65,482,892.55
  5. Step 5: Solve for x
    x = 65,482,892.55/11,567.64
  6. Step 6: Final answer
    x = 5,660.87

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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.