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Finding the Fourth Proportional to 5,947.86, 8,206.95 and 3,850.77

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Solution

The fourth proportional to 5,947.86, 8,206.95 and 3,850.77 is: 5,313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.86 : 8,206.95 = 3,850.77 : x
  2. Step 2: Convert to fraction form
    5,947.86/8,206.95 = 3,850.77/x
  3. Step 3: Cross multiply
    5,947.86x = 8,206.95 × 3,850.77
  4. Step 4: Simplify right side
    5,947.86x = 31,603,076.85
  5. Step 5: Solve for x
    x = 31,603,076.85/5,947.86
  6. Step 6: Final answer
    x = 5,313.35

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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.