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Finding the Fourth Proportional to 6,559, 9,819.79 and 6,145.15

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Solution

The fourth proportional to 6,559, 9,819.79 and 6,145.15 is: 9,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559 : 9,819.79 = 6,145.15 : x
  2. Step 2: Convert to fraction form
    6,559/9,819.79 = 6,145.15/x
  3. Step 3: Cross multiply
    6,559x = 9,819.79 × 6,145.15
  4. Step 4: Simplify right side
    6,559x = 60,344,082.52
  5. Step 5: Solve for x
    x = 60,344,082.52/6,559
  6. Step 6: Final answer
    x = 9,200.20

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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.