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Finding the Fourth Proportional to 4,736.24, 7,107.60 and 4,086.08

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Solution

The fourth proportional to 4,736.24, 7,107.60 and 4,086.08 is: 6,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.24 : 7,107.60 = 4,086.08 : x
  2. Step 2: Convert to fraction form
    4,736.24/7,107.60 = 4,086.08/x
  3. Step 3: Cross multiply
    4,736.24x = 7,107.60 × 4,086.08
  4. Step 4: Simplify right side
    4,736.24x = 29,042,222.21
  5. Step 5: Solve for x
    x = 29,042,222.21/4,736.24
  6. Step 6: Final answer
    x = 6,131.92

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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.