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Finding the Fourth Proportional to 6,533.34, 9,800.50 and 2,637.78

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Solution

The fourth proportional to 6,533.34, 9,800.50 and 2,637.78 is: 3,956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.34 : 9,800.50 = 2,637.78 : x
  2. Step 2: Convert to fraction form
    6,533.34/9,800.50 = 2,637.78/x
  3. Step 3: Cross multiply
    6,533.34x = 9,800.50 × 2,637.78
  4. Step 4: Simplify right side
    6,533.34x = 25,851,562.89
  5. Step 5: Solve for x
    x = 25,851,562.89/6,533.34
  6. Step 6: Final answer
    x = 3,956.87

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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.