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Finding the Fourth Proportional to 7,082.80, 10,622.78 and 6,731.53

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Solution

The fourth proportional to 7,082.80, 10,622.78 and 6,731.53 is: 10,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.80 : 10,622.78 = 6,731.53 : x
  2. Step 2: Convert to fraction form
    7,082.80/10,622.78 = 6,731.53/x
  3. Step 3: Cross multiply
    7,082.80x = 10,622.78 × 6,731.53
  4. Step 4: Simplify right side
    7,082.80x = 71,507,562.25
  5. Step 5: Solve for x
    x = 71,507,562.25/7,082.80
  6. Step 6: Final answer
    x = 10,095.95

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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.