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Finding the Fourth Proportional to 4,596.32, 6,891.51 and 1,965.54

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Solution

The fourth proportional to 4,596.32, 6,891.51 and 1,965.54 is: 2,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.32 : 6,891.51 = 1,965.54 : x
  2. Step 2: Convert to fraction form
    4,596.32/6,891.51 = 1,965.54/x
  3. Step 3: Cross multiply
    4,596.32x = 6,891.51 × 1,965.54
  4. Step 4: Simplify right side
    4,596.32x = 13,545,571.78
  5. Step 5: Solve for x
    x = 13,545,571.78/4,596.32
  6. Step 6: Final answer
    x = 2,947.05

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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.