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Finding the Fourth Proportional to 4,736.91, 7,105.37 and 1,658.19

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Solution

The fourth proportional to 4,736.91, 7,105.37 and 1,658.19 is: 2,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.91 : 7,105.37 = 1,658.19 : x
  2. Step 2: Convert to fraction form
    4,736.91/7,105.37 = 1,658.19/x
  3. Step 3: Cross multiply
    4,736.91x = 7,105.37 × 1,658.19
  4. Step 4: Simplify right side
    4,736.91x = 11,782,045.19
  5. Step 5: Solve for x
    x = 11,782,045.19/4,736.91
  6. Step 6: Final answer
    x = 2,487.29

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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.