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Finding the Fourth Proportional to 4,736.07, 7,105.56 and 1,616.07

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Solution

The fourth proportional to 4,736.07, 7,105.56 and 1,616.07 is: 2,424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.07 : 7,105.56 = 1,616.07 : x
  2. Step 2: Convert to fraction form
    4,736.07/7,105.56 = 1,616.07/x
  3. Step 3: Cross multiply
    4,736.07x = 7,105.56 × 1,616.07
  4. Step 4: Simplify right side
    4,736.07x = 11,483,091.72
  5. Step 5: Solve for x
    x = 11,483,091.72/4,736.07
  6. Step 6: Final answer
    x = 2,424.61

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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.