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Finding the Fourth Proportional to 11,697.57, 17,550.11 and 4,196.07

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Solution

The fourth proportional to 11,697.57, 17,550.11 and 4,196.07 is: 6,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.57 : 17,550.11 = 4,196.07 : x
  2. Step 2: Convert to fraction form
    11,697.57/17,550.11 = 4,196.07/x
  3. Step 3: Cross multiply
    11,697.57x = 17,550.11 × 4,196.07
  4. Step 4: Simplify right side
    11,697.57x = 73,641,500.56
  5. Step 5: Solve for x
    x = 73,641,500.56/11,697.57
  6. Step 6: Final answer
    x = 6,295.45

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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.