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Finding the Fourth Proportional to 6,773.14, 10,150.80 and 3,646.54

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Solution

The fourth proportional to 6,773.14, 10,150.80 and 3,646.54 is: 5,465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.14 : 10,150.80 = 3,646.54 : x
  2. Step 2: Convert to fraction form
    6,773.14/10,150.80 = 3,646.54/x
  3. Step 3: Cross multiply
    6,773.14x = 10,150.80 × 3,646.54
  4. Step 4: Simplify right side
    6,773.14x = 37,015,298.23
  5. Step 5: Solve for x
    x = 37,015,298.23/6,773.14
  6. Step 6: Final answer
    x = 5,465.01

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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.