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Finding the Fourth Proportional to 6,296.81, 9,444.60 and 1,914.91

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Solution

The fourth proportional to 6,296.81, 9,444.60 and 1,914.91 is: 2,872.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.81 : 9,444.60 = 1,914.91 : x
  2. Step 2: Convert to fraction form
    6,296.81/9,444.60 = 1,914.91/x
  3. Step 3: Cross multiply
    6,296.81x = 9,444.60 × 1,914.91
  4. Step 4: Simplify right side
    6,296.81x = 18,085,535.37
  5. Step 5: Solve for x
    x = 18,085,535.37/6,296.81
  6. Step 6: Final answer
    x = 2,872.18

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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.