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Finding the Fourth Proportional to 10,469.70, 14,450.85 and 5,994.90

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Solution

The fourth proportional to 10,469.70, 14,450.85 and 5,994.90 is: 8,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.70 : 14,450.85 = 5,994.90 : x
  2. Step 2: Convert to fraction form
    10,469.70/14,450.85 = 5,994.90/x
  3. Step 3: Cross multiply
    10,469.70x = 14,450.85 × 5,994.90
  4. Step 4: Simplify right side
    10,469.70x = 86,631,400.67
  5. Step 5: Solve for x
    x = 86,631,400.67/10,469.70
  6. Step 6: Final answer
    x = 8,274.49

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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.