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Finding the Fourth Proportional to 6,298.37, 9,446.19 and 2,599.64

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Solution

The fourth proportional to 6,298.37, 9,446.19 and 2,599.64 is: 3,898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.37 : 9,446.19 = 2,599.64 : x
  2. Step 2: Convert to fraction form
    6,298.37/9,446.19 = 2,599.64/x
  3. Step 3: Cross multiply
    6,298.37x = 9,446.19 × 2,599.64
  4. Step 4: Simplify right side
    6,298.37x = 24,556,693.37
  5. Step 5: Solve for x
    x = 24,556,693.37/6,298.37
  6. Step 6: Final answer
    x = 3,898.90

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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.