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Finding the Fourth Proportional to 7,083.81, 9,778.20 and 4,101

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Solution

The fourth proportional to 7,083.81, 9,778.20 and 4,101 is: 5,660.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.81 : 9,778.20 = 4,101 : x
  2. Step 2: Convert to fraction form
    7,083.81/9,778.20 = 4,101/x
  3. Step 3: Cross multiply
    7,083.81x = 9,778.20 × 4,101
  4. Step 4: Simplify right side
    7,083.81x = 40,100,398.20
  5. Step 5: Solve for x
    x = 40,100,398.20/7,083.81
  6. Step 6: Final answer
    x = 5,660.85

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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.