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Finding the Fourth Proportional to 6,542.15, 9,811.13 and 2,158.56

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Solution

The fourth proportional to 6,542.15, 9,811.13 and 2,158.56 is: 3,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.15 : 9,811.13 = 2,158.56 : x
  2. Step 2: Convert to fraction form
    6,542.15/9,811.13 = 2,158.56/x
  3. Step 3: Cross multiply
    6,542.15x = 9,811.13 × 2,158.56
  4. Step 4: Simplify right side
    6,542.15x = 21,177,901.98
  5. Step 5: Solve for x
    x = 21,177,901.98/6,542.15
  6. Step 6: Final answer
    x = 3,237.15

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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.