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Finding the Fourth Proportional to 4,771.74, 7,156.22 and 1,650.92

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Solution

The fourth proportional to 4,771.74, 7,156.22 and 1,650.92 is: 2,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.74 : 7,156.22 = 1,650.92 : x
  2. Step 2: Convert to fraction form
    4,771.74/7,156.22 = 1,650.92/x
  3. Step 3: Cross multiply
    4,771.74x = 7,156.22 × 1,650.92
  4. Step 4: Simplify right side
    4,771.74x = 11,814,346.72
  5. Step 5: Solve for x
    x = 11,814,346.72/4,771.74
  6. Step 6: Final answer
    x = 2,475.90

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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.