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Finding the Fourth Proportional to 6,598.32, 9,898.44 and 2,214.84

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Solution

The fourth proportional to 6,598.32, 9,898.44 and 2,214.84 is: 3,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.32 : 9,898.44 = 2,214.84 : x
  2. Step 2: Convert to fraction form
    6,598.32/9,898.44 = 2,214.84/x
  3. Step 3: Cross multiply
    6,598.32x = 9,898.44 × 2,214.84
  4. Step 4: Simplify right side
    6,598.32x = 21,923,460.85
  5. Step 5: Solve for x
    x = 21,923,460.85/6,598.32
  6. Step 6: Final answer
    x = 3,322.58

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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.