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Finding the Fourth Proportional to 11,596.57, 17,396.22 and 6,666.25

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Solution

The fourth proportional to 11,596.57, 17,396.22 and 6,666.25 is: 10,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.57 : 17,396.22 = 6,666.25 : x
  2. Step 2: Convert to fraction form
    11,596.57/17,396.22 = 6,666.25/x
  3. Step 3: Cross multiply
    11,596.57x = 17,396.22 × 6,666.25
  4. Step 4: Simplify right side
    11,596.57x = 115,967,528.20
  5. Step 5: Solve for x
    x = 115,967,528.20/11,596.57
  6. Step 6: Final answer
    x = 10,000.16

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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.