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Finding the Fourth Proportional to 6,480.94, 8,941.62 and 3,829.24

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Solution

The fourth proportional to 6,480.94, 8,941.62 and 3,829.24 is: 5,283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.94 : 8,941.62 = 3,829.24 : x
  2. Step 2: Convert to fraction form
    6,480.94/8,941.62 = 3,829.24/x
  3. Step 3: Cross multiply
    6,480.94x = 8,941.62 × 3,829.24
  4. Step 4: Simplify right side
    6,480.94x = 34,239,608.97
  5. Step 5: Solve for x
    x = 34,239,608.97/6,480.94
  6. Step 6: Final answer
    x = 5,283.12

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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.