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Finding the Fourth Proportional to 11,585.78, 17,375 and 4,189.26

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Solution

The fourth proportional to 11,585.78, 17,375 and 4,189.26 is: 6,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.78 : 17,375 = 4,189.26 : x
  2. Step 2: Convert to fraction form
    11,585.78/17,375 = 4,189.26/x
  3. Step 3: Cross multiply
    11,585.78x = 17,375 × 4,189.26
  4. Step 4: Simplify right side
    11,585.78x = 72,788,392.50
  5. Step 5: Solve for x
    x = 72,788,392.50/11,585.78
  6. Step 6: Final answer
    x = 6,282.56

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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.