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Finding the Fourth Proportional to 6,496.86, 8,965.67 and 3,512.70

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Solution

The fourth proportional to 6,496.86, 8,965.67 and 3,512.70 is: 4,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.86 : 8,965.67 = 3,512.70 : x
  2. Step 2: Convert to fraction form
    6,496.86/8,965.67 = 3,512.70/x
  3. Step 3: Cross multiply
    6,496.86x = 8,965.67 × 3,512.70
  4. Step 4: Simplify right side
    6,496.86x = 31,493,671.00
  5. Step 5: Solve for x
    x = 31,493,671.00/6,496.86
  6. Step 6: Final answer
    x = 4,847.52

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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.