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Finding the Fourth Proportional to 7,083.86, 9,775.94 and 3,896.99

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Solution

The fourth proportional to 7,083.86, 9,775.94 and 3,896.99 is: 5,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.86 : 9,775.94 = 3,896.99 : x
  2. Step 2: Convert to fraction form
    7,083.86/9,775.94 = 3,896.99/x
  3. Step 3: Cross multiply
    7,083.86x = 9,775.94 × 3,896.99
  4. Step 4: Simplify right side
    7,083.86x = 38,096,740.42
  5. Step 5: Solve for x
    x = 38,096,740.42/7,083.86
  6. Step 6: Final answer
    x = 5,377.96

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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.