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Finding the Fourth Proportional to 6,534.68, 9,801.93 and 1,604.30

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Solution

The fourth proportional to 6,534.68, 9,801.93 and 1,604.30 is: 2,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.68 : 9,801.93 = 1,604.30 : x
  2. Step 2: Convert to fraction form
    6,534.68/9,801.93 = 1,604.30/x
  3. Step 3: Cross multiply
    6,534.68x = 9,801.93 × 1,604.30
  4. Step 4: Simplify right side
    6,534.68x = 15,725,236.30
  5. Step 5: Solve for x
    x = 15,725,236.30/6,534.68
  6. Step 6: Final answer
    x = 2,406.43

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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.