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Finding the Fourth Proportional to 8,083.67, 11,152.86 and 4,895.94

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Solution

The fourth proportional to 8,083.67, 11,152.86 and 4,895.94 is: 6,754.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.67 : 11,152.86 = 4,895.94 : x
  2. Step 2: Convert to fraction form
    8,083.67/11,152.86 = 4,895.94/x
  3. Step 3: Cross multiply
    8,083.67x = 11,152.86 × 4,895.94
  4. Step 4: Simplify right side
    8,083.67x = 54,603,756.85
  5. Step 5: Solve for x
    x = 54,603,756.85/8,083.67
  6. Step 6: Final answer
    x = 6,754.83

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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.