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Finding the Fourth Proportional to 6,596.70, 9,892.65 and 2,214.30

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Solution

The fourth proportional to 6,596.70, 9,892.65 and 2,214.30 is: 3,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.70 : 9,892.65 = 2,214.30 : x
  2. Step 2: Convert to fraction form
    6,596.70/9,892.65 = 2,214.30/x
  3. Step 3: Cross multiply
    6,596.70x = 9,892.65 × 2,214.30
  4. Step 4: Simplify right side
    6,596.70x = 21,905,294.90
  5. Step 5: Solve for x
    x = 21,905,294.90/6,596.70
  6. Step 6: Final answer
    x = 3,320.64

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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.