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Finding the Fourth Proportional to 7,082.96, 10,624.80 and 2,700.77

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Solution

The fourth proportional to 7,082.96, 10,624.80 and 2,700.77 is: 4,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.96 : 10,624.80 = 2,700.77 : x
  2. Step 2: Convert to fraction form
    7,082.96/10,624.80 = 2,700.77/x
  3. Step 3: Cross multiply
    7,082.96x = 10,624.80 × 2,700.77
  4. Step 4: Simplify right side
    7,082.96x = 28,695,087.97
  5. Step 5: Solve for x
    x = 28,695,087.97/7,082.96
  6. Step 6: Final answer
    x = 4,051.29

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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.