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Finding the Fourth Proportional to 6,596.62, 9,897 and 2,901.96

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Solution

The fourth proportional to 6,596.62, 9,897 and 2,901.96 is: 4,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.62 : 9,897 = 2,901.96 : x
  2. Step 2: Convert to fraction form
    6,596.62/9,897 = 2,901.96/x
  3. Step 3: Cross multiply
    6,596.62x = 9,897 × 2,901.96
  4. Step 4: Simplify right side
    6,596.62x = 28,720,698.12
  5. Step 5: Solve for x
    x = 28,720,698.12/6,596.62
  6. Step 6: Final answer
    x = 4,353.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.