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Finding the Fourth Proportional to 6,517.42, 8,993.64 and 3,828.24

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Solution

The fourth proportional to 6,517.42, 8,993.64 and 3,828.24 is: 5,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.42 : 8,993.64 = 3,828.24 : x
  2. Step 2: Convert to fraction form
    6,517.42/8,993.64 = 3,828.24/x
  3. Step 3: Cross multiply
    6,517.42x = 8,993.64 × 3,828.24
  4. Step 4: Simplify right side
    6,517.42x = 34,429,812.39
  5. Step 5: Solve for x
    x = 34,429,812.39/6,517.42
  6. Step 6: Final answer
    x = 5,282.74

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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.