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Finding the Fourth Proportional to 7,082.44, 10,624.10 and 2,152.44

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Solution

The fourth proportional to 7,082.44, 10,624.10 and 2,152.44 is: 3,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.44 : 10,624.10 = 2,152.44 : x
  2. Step 2: Convert to fraction form
    7,082.44/10,624.10 = 2,152.44/x
  3. Step 3: Cross multiply
    7,082.44x = 10,624.10 × 2,152.44
  4. Step 4: Simplify right side
    7,082.44x = 22,867,727.04
  5. Step 5: Solve for x
    x = 22,867,727.04/7,082.44
  6. Step 6: Final answer
    x = 3,228.79

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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.