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Finding the Fourth Proportional to 6,711.92, 9,262.76 and 3,727.77

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Solution

The fourth proportional to 6,711.92, 9,262.76 and 3,727.77 is: 5,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.92 : 9,262.76 = 3,727.77 : x
  2. Step 2: Convert to fraction form
    6,711.92/9,262.76 = 3,727.77/x
  3. Step 3: Cross multiply
    6,711.92x = 9,262.76 × 3,727.77
  4. Step 4: Simplify right side
    6,711.92x = 34,529,448.16
  5. Step 5: Solve for x
    x = 34,529,448.16/6,711.92
  6. Step 6: Final answer
    x = 5,144.49

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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.