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Finding the Fourth Proportional to 7,771.77, 11,659.14 and 3,093.95

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Solution

The fourth proportional to 7,771.77, 11,659.14 and 3,093.95 is: 4,641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.77 : 11,659.14 = 3,093.95 : x
  2. Step 2: Convert to fraction form
    7,771.77/11,659.14 = 3,093.95/x
  3. Step 3: Cross multiply
    7,771.77x = 11,659.14 × 3,093.95
  4. Step 4: Simplify right side
    7,771.77x = 36,072,737.91
  5. Step 5: Solve for x
    x = 36,072,737.91/7,771.77
  6. Step 6: Final answer
    x = 4,641.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.