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Finding the Fourth Proportional to 6,522.16, 9,780.96 and 2,138.50

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Solution

The fourth proportional to 6,522.16, 9,780.96 and 2,138.50 is: 3,207.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.16 : 9,780.96 = 2,138.50 : x
  2. Step 2: Convert to fraction form
    6,522.16/9,780.96 = 2,138.50/x
  3. Step 3: Cross multiply
    6,522.16x = 9,780.96 × 2,138.50
  4. Step 4: Simplify right side
    6,522.16x = 20,916,582.96
  5. Step 5: Solve for x
    x = 20,916,582.96/6,522.16
  6. Step 6: Final answer
    x = 3,207.00

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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.