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Finding the Fourth Proportional to 6,598.14, 9,896.28 and 1,667.48

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Solution

The fourth proportional to 6,598.14, 9,896.28 and 1,667.48 is: 2,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.14 : 9,896.28 = 1,667.48 : x
  2. Step 2: Convert to fraction form
    6,598.14/9,896.28 = 1,667.48/x
  3. Step 3: Cross multiply
    6,598.14x = 9,896.28 × 1,667.48
  4. Step 4: Simplify right side
    6,598.14x = 16,501,799.49
  5. Step 5: Solve for x
    x = 16,501,799.49/6,598.14
  6. Step 6: Final answer
    x = 2,500.98

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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.