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Finding the Fourth Proportional to 17,567.42, 26,351 and 7,171.88

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Solution

The fourth proportional to 17,567.42, 26,351 and 7,171.88 is: 10,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,567.42 : 26,351 = 7,171.88 : x
  2. Step 2: Convert to fraction form
    17,567.42/26,351 = 7,171.88/x
  3. Step 3: Cross multiply
    17,567.42x = 26,351 × 7,171.88
  4. Step 4: Simplify right side
    17,567.42x = 188,986,209.88
  5. Step 5: Solve for x
    x = 188,986,209.88/17,567.42
  6. Step 6: Final answer
    x = 10,757.77

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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.