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Finding the Fourth Proportional to 4,694.87, 6,478.64 and 2,569.98

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Solution

The fourth proportional to 4,694.87, 6,478.64 and 2,569.98 is: 3,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.87 : 6,478.64 = 2,569.98 : x
  2. Step 2: Convert to fraction form
    4,694.87/6,478.64 = 2,569.98/x
  3. Step 3: Cross multiply
    4,694.87x = 6,478.64 × 2,569.98
  4. Step 4: Simplify right side
    4,694.87x = 16,649,929.98
  5. Step 5: Solve for x
    x = 16,649,929.98/4,694.87
  6. Step 6: Final answer
    x = 3,546.41

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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.