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Finding the Fourth Proportional to 10,299.78, 14,213.78 and 6,049.70

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Solution

The fourth proportional to 10,299.78, 14,213.78 and 6,049.70 is: 8,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.78 : 14,213.78 = 6,049.70 : x
  2. Step 2: Convert to fraction form
    10,299.78/14,213.78 = 6,049.70/x
  3. Step 3: Cross multiply
    10,299.78x = 14,213.78 × 6,049.70
  4. Step 4: Simplify right side
    10,299.78x = 85,989,104.87
  5. Step 5: Solve for x
    x = 85,989,104.87/10,299.78
  6. Step 6: Final answer
    x = 8,348.64

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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.