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Finding the Fourth Proportional to 6,674.67, 9,999.72 and 4,203.63

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Solution

The fourth proportional to 6,674.67, 9,999.72 and 4,203.63 is: 6,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.67 : 9,999.72 = 4,203.63 : x
  2. Step 2: Convert to fraction form
    6,674.67/9,999.72 = 4,203.63/x
  3. Step 3: Cross multiply
    6,674.67x = 9,999.72 × 4,203.63
  4. Step 4: Simplify right side
    6,674.67x = 42,035,122.98
  5. Step 5: Solve for x
    x = 42,035,122.98/6,674.67
  6. Step 6: Final answer
    x = 6,297.71

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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.