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Finding the Fourth Proportional to 7,218.16, 10,823.16 and 2,286.88

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Solution

The fourth proportional to 7,218.16, 10,823.16 and 2,286.88 is: 3,429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.16 : 10,823.16 = 2,286.88 : x
  2. Step 2: Convert to fraction form
    7,218.16/10,823.16 = 2,286.88/x
  3. Step 3: Cross multiply
    7,218.16x = 10,823.16 × 2,286.88
  4. Step 4: Simplify right side
    7,218.16x = 24,751,268.14
  5. Step 5: Solve for x
    x = 24,751,268.14/7,218.16
  6. Step 6: Final answer
    x = 3,429.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.