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Finding the Fourth Proportional to 6,598.32, 9,898.68 and 3,313.68

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Solution

The fourth proportional to 6,598.32, 9,898.68 and 3,313.68 is: 4,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.32 : 9,898.68 = 3,313.68 : x
  2. Step 2: Convert to fraction form
    6,598.32/9,898.68 = 3,313.68/x
  3. Step 3: Cross multiply
    6,598.32x = 9,898.68 × 3,313.68
  4. Step 4: Simplify right side
    6,598.32x = 32,801,057.94
  5. Step 5: Solve for x
    x = 32,801,057.94/6,598.32
  6. Step 6: Final answer
    x = 4,971.12

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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.