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Finding the Fourth Proportional to 6,844.44, 9,443.18 and 4,189.08

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Solution

The fourth proportional to 6,844.44, 9,443.18 and 4,189.08 is: 5,779.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.44 : 9,443.18 = 4,189.08 : x
  2. Step 2: Convert to fraction form
    6,844.44/9,443.18 = 4,189.08/x
  3. Step 3: Cross multiply
    6,844.44x = 9,443.18 × 4,189.08
  4. Step 4: Simplify right side
    6,844.44x = 39,558,236.47
  5. Step 5: Solve for x
    x = 39,558,236.47/6,844.44
  6. Step 6: Final answer
    x = 5,779.62

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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.