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Finding the Fourth Proportional to 6,582.67, 9,874.31 and 3,658.77

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Solution

The fourth proportional to 6,582.67, 9,874.31 and 3,658.77 is: 5,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.67 : 9,874.31 = 3,658.77 : x
  2. Step 2: Convert to fraction form
    6,582.67/9,874.31 = 3,658.77/x
  3. Step 3: Cross multiply
    6,582.67x = 9,874.31 × 3,658.77
  4. Step 4: Simplify right side
    6,582.67x = 36,127,810.90
  5. Step 5: Solve for x
    x = 36,127,810.90/6,582.67
  6. Step 6: Final answer
    x = 5,488.32

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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.