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Finding the Fourth Proportional to 6,468.94, 9,705.84 and 3,873.70

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Solution

The fourth proportional to 6,468.94, 9,705.84 and 3,873.70 is: 5,812.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.94 : 9,705.84 = 3,873.70 : x
  2. Step 2: Convert to fraction form
    6,468.94/9,705.84 = 3,873.70/x
  3. Step 3: Cross multiply
    6,468.94x = 9,705.84 × 3,873.70
  4. Step 4: Simplify right side
    6,468.94x = 37,597,512.41
  5. Step 5: Solve for x
    x = 37,597,512.41/6,468.94
  6. Step 6: Final answer
    x = 5,812.01

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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.