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Finding the Fourth Proportional to 6,400.94, 8,832.98 and 3,568.62

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Solution

The fourth proportional to 6,400.94, 8,832.98 and 3,568.62 is: 4,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.94 : 8,832.98 = 3,568.62 : x
  2. Step 2: Convert to fraction form
    6,400.94/8,832.98 = 3,568.62/x
  3. Step 3: Cross multiply
    6,400.94x = 8,832.98 × 3,568.62
  4. Step 4: Simplify right side
    6,400.94x = 31,521,591.13
  5. Step 5: Solve for x
    x = 31,521,591.13/6,400.94
  6. Step 6: Final answer
    x = 4,924.52

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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.