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Finding the Fourth Proportional to 6,196.80, 8,539.78 and 6,082.93

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Solution

The fourth proportional to 6,196.80, 8,539.78 and 6,082.93 is: 8,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.80 : 8,539.78 = 6,082.93 : x
  2. Step 2: Convert to fraction form
    6,196.80/8,539.78 = 6,082.93/x
  3. Step 3: Cross multiply
    6,196.80x = 8,539.78 × 6,082.93
  4. Step 4: Simplify right side
    6,196.80x = 51,946,883.96
  5. Step 5: Solve for x
    x = 51,946,883.96/6,196.80
  6. Step 6: Final answer
    x = 8,382.86

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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.