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Finding the Fourth Proportional to 6,323.77, 8,727.24 and 3,671.47

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Solution

The fourth proportional to 6,323.77, 8,727.24 and 3,671.47 is: 5,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.77 : 8,727.24 = 3,671.47 : x
  2. Step 2: Convert to fraction form
    6,323.77/8,727.24 = 3,671.47/x
  3. Step 3: Cross multiply
    6,323.77x = 8,727.24 × 3,671.47
  4. Step 4: Simplify right side
    6,323.77x = 32,041,799.84
  5. Step 5: Solve for x
    x = 32,041,799.84/6,323.77
  6. Step 6: Final answer
    x = 5,066.88

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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.