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Finding the Fourth Proportional to 4,858.66, 7,286.14 and 1,738.10

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Solution

The fourth proportional to 4,858.66, 7,286.14 and 1,738.10 is: 2,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.66 : 7,286.14 = 1,738.10 : x
  2. Step 2: Convert to fraction form
    4,858.66/7,286.14 = 1,738.10/x
  3. Step 3: Cross multiply
    4,858.66x = 7,286.14 × 1,738.10
  4. Step 4: Simplify right side
    4,858.66x = 12,664,039.93
  5. Step 5: Solve for x
    x = 12,664,039.93/4,858.66
  6. Step 6: Final answer
    x = 2,606.49

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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.