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Finding the Fourth Proportional to 10,489.88, 15,734.74 and 4,249.80

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Solution

The fourth proportional to 10,489.88, 15,734.74 and 4,249.80 is: 6,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.88 : 15,734.74 = 4,249.80 : x
  2. Step 2: Convert to fraction form
    10,489.88/15,734.74 = 4,249.80/x
  3. Step 3: Cross multiply
    10,489.88x = 15,734.74 × 4,249.80
  4. Step 4: Simplify right side
    10,489.88x = 66,869,476.80
  5. Step 5: Solve for x
    x = 66,869,476.80/10,489.88
  6. Step 6: Final answer
    x = 6,374.67

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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.