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Finding the Fourth Proportional to 6,442.77, 9,663.75 and 3,843.75

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Solution

The fourth proportional to 6,442.77, 9,663.75 and 3,843.75 is: 5,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.77 : 9,663.75 = 3,843.75 : x
  2. Step 2: Convert to fraction form
    6,442.77/9,663.75 = 3,843.75/x
  3. Step 3: Cross multiply
    6,442.77x = 9,663.75 × 3,843.75
  4. Step 4: Simplify right side
    6,442.77x = 37,145,039.06
  5. Step 5: Solve for x
    x = 37,145,039.06/6,442.77
  6. Step 6: Final answer
    x = 5,765.38

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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.