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Finding the Fourth Proportional to 6,596.67, 9,886.08 and 2,698.95

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Solution

The fourth proportional to 6,596.67, 9,886.08 and 2,698.95 is: 4,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.67 : 9,886.08 = 2,698.95 : x
  2. Step 2: Convert to fraction form
    6,596.67/9,886.08 = 2,698.95/x
  3. Step 3: Cross multiply
    6,596.67x = 9,886.08 × 2,698.95
  4. Step 4: Simplify right side
    6,596.67x = 26,682,035.62
  5. Step 5: Solve for x
    x = 26,682,035.62/6,596.67
  6. Step 6: Final answer
    x = 4,044.77

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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.