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Finding the Fourth Proportional to 6,728.02, 9,284.92 and 3,744.20

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Solution

The fourth proportional to 6,728.02, 9,284.92 and 3,744.20 is: 5,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.02 : 9,284.92 = 3,744.20 : x
  2. Step 2: Convert to fraction form
    6,728.02/9,284.92 = 3,744.20/x
  3. Step 3: Cross multiply
    6,728.02x = 9,284.92 × 3,744.20
  4. Step 4: Simplify right side
    6,728.02x = 34,764,597.46
  5. Step 5: Solve for x
    x = 34,764,597.46/6,728.02
  6. Step 6: Final answer
    x = 5,167.14

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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.