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Finding the Fourth Proportional to 11,585.58, 17,375.69 and 6,906.90

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Solution

The fourth proportional to 11,585.58, 17,375.69 and 6,906.90 is: 10,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.58 : 17,375.69 = 6,906.90 : x
  2. Step 2: Convert to fraction form
    11,585.58/17,375.69 = 6,906.90/x
  3. Step 3: Cross multiply
    11,585.58x = 17,375.69 × 6,906.90
  4. Step 4: Simplify right side
    11,585.58x = 120,012,153.26
  5. Step 5: Solve for x
    x = 120,012,153.26/11,585.58
  6. Step 6: Final answer
    x = 10,358.75

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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.