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Finding the Fourth Proportional to 5,201.72, 7,764.49 and 4,513.16

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Solution

The fourth proportional to 5,201.72, 7,764.49 and 4,513.16 is: 6,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.72 : 7,764.49 = 4,513.16 : x
  2. Step 2: Convert to fraction form
    5,201.72/7,764.49 = 4,513.16/x
  3. Step 3: Cross multiply
    5,201.72x = 7,764.49 × 4,513.16
  4. Step 4: Simplify right side
    5,201.72x = 35,042,385.69
  5. Step 5: Solve for x
    x = 35,042,385.69/5,201.72
  6. Step 6: Final answer
    x = 6,736.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.