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Finding the Fourth Proportional to 8,741.76, 13,114.13 and 3,202.85

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Solution

The fourth proportional to 8,741.76, 13,114.13 and 3,202.85 is: 4,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.76 : 13,114.13 = 3,202.85 : x
  2. Step 2: Convert to fraction form
    8,741.76/13,114.13 = 3,202.85/x
  3. Step 3: Cross multiply
    8,741.76x = 13,114.13 × 3,202.85
  4. Step 4: Simplify right side
    8,741.76x = 42,002,509.69
  5. Step 5: Solve for x
    x = 42,002,509.69/8,741.76
  6. Step 6: Final answer
    x = 4,804.81

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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.