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Finding the Fourth Proportional to 11,593.22, 15,980.87 and 7,108.65

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Solution

The fourth proportional to 11,593.22, 15,980.87 and 7,108.65 is: 9,799.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.22 : 15,980.87 = 7,108.65 : x
  2. Step 2: Convert to fraction form
    11,593.22/15,980.87 = 7,108.65/x
  3. Step 3: Cross multiply
    11,593.22x = 15,980.87 × 7,108.65
  4. Step 4: Simplify right side
    11,593.22x = 113,602,375.98
  5. Step 5: Solve for x
    x = 113,602,375.98/11,593.22
  6. Step 6: Final answer
    x = 9,799.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.