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Finding the Fourth Proportional to 6,352.80, 9,516.40 and 4,036

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Solution

The fourth proportional to 6,352.80, 9,516.40 and 4,036 is: 6,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.80 : 9,516.40 = 4,036 : x
  2. Step 2: Convert to fraction form
    6,352.80/9,516.40 = 4,036/x
  3. Step 3: Cross multiply
    6,352.80x = 9,516.40 × 4,036
  4. Step 4: Simplify right side
    6,352.80x = 38,408,190.40
  5. Step 5: Solve for x
    x = 38,408,190.40/6,352.80
  6. Step 6: Final answer
    x = 6,045.87

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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.