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Finding the Fourth Proportional to 4,737.24, 7,105.85 and 1,960.86

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Solution

The fourth proportional to 4,737.24, 7,105.85 and 1,960.86 is: 2,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.24 : 7,105.85 = 1,960.86 : x
  2. Step 2: Convert to fraction form
    4,737.24/7,105.85 = 1,960.86/x
  3. Step 3: Cross multiply
    4,737.24x = 7,105.85 × 1,960.86
  4. Step 4: Simplify right side
    4,737.24x = 13,933,567.23
  5. Step 5: Solve for x
    x = 13,933,567.23/4,737.24
  6. Step 6: Final answer
    x = 2,941.28

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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.