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Finding the Fourth Proportional to 7,182.86, 9,912.29 and 3,996.63

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Solution

The fourth proportional to 7,182.86, 9,912.29 and 3,996.63 is: 5,515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.86 : 9,912.29 = 3,996.63 : x
  2. Step 2: Convert to fraction form
    7,182.86/9,912.29 = 3,996.63/x
  3. Step 3: Cross multiply
    7,182.86x = 9,912.29 × 3,996.63
  4. Step 4: Simplify right side
    7,182.86x = 39,615,735.60
  5. Step 5: Solve for x
    x = 39,615,735.60/7,182.86
  6. Step 6: Final answer
    x = 5,515.32

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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.