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Finding the Fourth Proportional to 7,204.25, 9,941.87 and 3,892.25

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Solution

The fourth proportional to 7,204.25, 9,941.87 and 3,892.25 is: 5,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.25 : 9,941.87 = 3,892.25 : x
  2. Step 2: Convert to fraction form
    7,204.25/9,941.87 = 3,892.25/x
  3. Step 3: Cross multiply
    7,204.25x = 9,941.87 × 3,892.25
  4. Step 4: Simplify right side
    7,204.25x = 38,696,224.05
  5. Step 5: Solve for x
    x = 38,696,224.05/7,204.25
  6. Step 6: Final answer
    x = 5,371.31

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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.