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Finding the Fourth Proportional to 11,486.75, 17,234.22 and 5,647.46

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Solution

The fourth proportional to 11,486.75, 17,234.22 and 5,647.46 is: 8,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.75 : 17,234.22 = 5,647.46 : x
  2. Step 2: Convert to fraction form
    11,486.75/17,234.22 = 5,647.46/x
  3. Step 3: Cross multiply
    11,486.75x = 17,234.22 × 5,647.46
  4. Step 4: Simplify right side
    11,486.75x = 97,329,568.08
  5. Step 5: Solve for x
    x = 97,329,568.08/11,486.75
  6. Step 6: Final answer
    x = 8,473.20

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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.