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Finding the Fourth Proportional to 6,496.87, 8,965.75 and 3,512.76

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Solution

The fourth proportional to 6,496.87, 8,965.75 and 3,512.76 is: 4,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.87 : 8,965.75 = 3,512.76 : x
  2. Step 2: Convert to fraction form
    6,496.87/8,965.75 = 3,512.76/x
  3. Step 3: Cross multiply
    6,496.87x = 8,965.75 × 3,512.76
  4. Step 4: Simplify right side
    6,496.87x = 31,494,541.60
  5. Step 5: Solve for x
    x = 31,494,541.60/6,496.87
  6. Step 6: Final answer
    x = 4,847.65

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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.