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Finding the Fourth Proportional to 7,082.79, 10,624.74 and 2,152.86

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Solution

The fourth proportional to 7,082.79, 10,624.74 and 2,152.86 is: 3,229.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.79 : 10,624.74 = 2,152.86 : x
  2. Step 2: Convert to fraction form
    7,082.79/10,624.74 = 2,152.86/x
  3. Step 3: Cross multiply
    7,082.79x = 10,624.74 × 2,152.86
  4. Step 4: Simplify right side
    7,082.79x = 22,873,577.76
  5. Step 5: Solve for x
    x = 22,873,577.76/7,082.79
  6. Step 6: Final answer
    x = 3,229.46

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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.