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Finding the Fourth Proportional to 7,305.93, 10,082.22 and 4,162.14

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Solution

The fourth proportional to 7,305.93, 10,082.22 and 4,162.14 is: 5,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.93 : 10,082.22 = 4,162.14 : x
  2. Step 2: Convert to fraction form
    7,305.93/10,082.22 = 4,162.14/x
  3. Step 3: Cross multiply
    7,305.93x = 10,082.22 × 4,162.14
  4. Step 4: Simplify right side
    7,305.93x = 41,963,611.15
  5. Step 5: Solve for x
    x = 41,963,611.15/7,305.93
  6. Step 6: Final answer
    x = 5,743.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.