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Finding the Fourth Proportional to 10,591.77, 14,616.78 and 5,811.41

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Solution

The fourth proportional to 10,591.77, 14,616.78 and 5,811.41 is: 8,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.77 : 14,616.78 = 5,811.41 : x
  2. Step 2: Convert to fraction form
    10,591.77/14,616.78 = 5,811.41/x
  3. Step 3: Cross multiply
    10,591.77x = 14,616.78 × 5,811.41
  4. Step 4: Simplify right side
    10,591.77x = 84,944,099.70
  5. Step 5: Solve for x
    x = 84,944,099.70/10,591.77
  6. Step 6: Final answer
    x = 8,019.82

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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.