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Finding the Fourth Proportional to 5,998.16, 8,276 and 3,640.24

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Solution

The fourth proportional to 5,998.16, 8,276 and 3,640.24 is: 5,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.16 : 8,276 = 3,640.24 : x
  2. Step 2: Convert to fraction form
    5,998.16/8,276 = 3,640.24/x
  3. Step 3: Cross multiply
    5,998.16x = 8,276 × 3,640.24
  4. Step 4: Simplify right side
    5,998.16x = 30,126,626.24
  5. Step 5: Solve for x
    x = 30,126,626.24/5,998.16
  6. Step 6: Final answer
    x = 5,022.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.