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Finding the Fourth Proportional to 6,824.76, 9,418.74 and 3,800.28

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Solution

The fourth proportional to 6,824.76, 9,418.74 and 3,800.28 is: 5,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.76 : 9,418.74 = 3,800.28 : x
  2. Step 2: Convert to fraction form
    6,824.76/9,418.74 = 3,800.28/x
  3. Step 3: Cross multiply
    6,824.76x = 9,418.74 × 3,800.28
  4. Step 4: Simplify right side
    6,824.76x = 35,793,849.25
  5. Step 5: Solve for x
    x = 35,793,849.25/6,824.76
  6. Step 6: Final answer
    x = 5,244.70

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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.