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Finding the Fourth Proportional to 6,400.25, 8,832.35 and 3,456.25

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Solution

The fourth proportional to 6,400.25, 8,832.35 and 3,456.25 is: 4,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.25 : 8,832.35 = 3,456.25 : x
  2. Step 2: Convert to fraction form
    6,400.25/8,832.35 = 3,456.25/x
  3. Step 3: Cross multiply
    6,400.25x = 8,832.35 × 3,456.25
  4. Step 4: Simplify right side
    6,400.25x = 30,526,792.41
  5. Step 5: Solve for x
    x = 30,526,792.41/6,400.25
  6. Step 6: Final answer
    x = 4,769.63

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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.