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Finding the Fourth Proportional to 7,019.38, 9,682.32 and 4,498.89

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Solution

The fourth proportional to 7,019.38, 9,682.32 and 4,498.89 is: 6,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019.38 : 9,682.32 = 4,498.89 : x
  2. Step 2: Convert to fraction form
    7,019.38/9,682.32 = 4,498.89/x
  3. Step 3: Cross multiply
    7,019.38x = 9,682.32 × 4,498.89
  4. Step 4: Simplify right side
    7,019.38x = 43,559,692.62
  5. Step 5: Solve for x
    x = 43,559,692.62/7,019.38
  6. Step 6: Final answer
    x = 6,205.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.