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Finding the Fourth Proportional to 9,168.54, 13,721.64 and 5,660.76

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Solution

The fourth proportional to 9,168.54, 13,721.64 and 5,660.76 is: 8,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.54 : 13,721.64 = 5,660.76 : x
  2. Step 2: Convert to fraction form
    9,168.54/13,721.64 = 5,660.76/x
  3. Step 3: Cross multiply
    9,168.54x = 13,721.64 × 5,660.76
  4. Step 4: Simplify right side
    9,168.54x = 77,674,910.85
  5. Step 5: Solve for x
    x = 77,674,910.85/9,168.54
  6. Step 6: Final answer
    x = 8,471.90

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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.