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Finding the Fourth Proportional to 6,296.33, 9,445.86 and 1,914.14

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Solution

The fourth proportional to 6,296.33, 9,445.86 and 1,914.14 is: 2,871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.33 : 9,445.86 = 1,914.14 : x
  2. Step 2: Convert to fraction form
    6,296.33/9,445.86 = 1,914.14/x
  3. Step 3: Cross multiply
    6,296.33x = 9,445.86 × 1,914.14
  4. Step 4: Simplify right side
    6,296.33x = 18,080,651.23
  5. Step 5: Solve for x
    x = 18,080,651.23/6,296.33
  6. Step 6: Final answer
    x = 2,871.62

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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.