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Finding the Fourth Proportional to 6,016.50, 9,024.05 and 1,574.59

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Solution

The fourth proportional to 6,016.50, 9,024.05 and 1,574.59 is: 2,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.50 : 9,024.05 = 1,574.59 : x
  2. Step 2: Convert to fraction form
    6,016.50/9,024.05 = 1,574.59/x
  3. Step 3: Cross multiply
    6,016.50x = 9,024.05 × 1,574.59
  4. Step 4: Simplify right side
    6,016.50x = 14,209,189.88
  5. Step 5: Solve for x
    x = 14,209,189.88/6,016.50
  6. Step 6: Final answer
    x = 2,361.71

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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.