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Finding the Fourth Proportional to 3,614.14, 5,420.94 and 1,016.74

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Solution

The fourth proportional to 3,614.14, 5,420.94 and 1,016.74 is: 1,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.14 : 5,420.94 = 1,016.74 : x
  2. Step 2: Convert to fraction form
    3,614.14/5,420.94 = 1,016.74/x
  3. Step 3: Cross multiply
    3,614.14x = 5,420.94 × 1,016.74
  4. Step 4: Simplify right side
    3,614.14x = 5,511,686.54
  5. Step 5: Solve for x
    x = 5,511,686.54/3,614.14
  6. Step 6: Final answer
    x = 1,525.03

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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.