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Finding the Fourth Proportional to 4,546.80, 6,814.80 and 1,914.30

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Solution

The fourth proportional to 4,546.80, 6,814.80 and 1,914.30 is: 2,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.80 : 6,814.80 = 1,914.30 : x
  2. Step 2: Convert to fraction form
    4,546.80/6,814.80 = 1,914.30/x
  3. Step 3: Cross multiply
    4,546.80x = 6,814.80 × 1,914.30
  4. Step 4: Simplify right side
    4,546.80x = 13,045,571.64
  5. Step 5: Solve for x
    x = 13,045,571.64/4,546.80
  6. Step 6: Final answer
    x = 2,869.18

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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.