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Finding the Fourth Proportional to 4,736.99, 7,105.57 and 1,617.71

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Solution

The fourth proportional to 4,736.99, 7,105.57 and 1,617.71 is: 2,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.99 : 7,105.57 = 1,617.71 : x
  2. Step 2: Convert to fraction form
    4,736.99/7,105.57 = 1,617.71/x
  3. Step 3: Cross multiply
    4,736.99x = 7,105.57 × 1,617.71
  4. Step 4: Simplify right side
    4,736.99x = 11,494,712.07
  5. Step 5: Solve for x
    x = 11,494,712.07/4,736.99
  6. Step 6: Final answer
    x = 2,426.59

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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.