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Finding the Fourth Proportional to 6,602.88, 9,902.58 and 2,706.54

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Solution

The fourth proportional to 6,602.88, 9,902.58 and 2,706.54 is: 4,059.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.88 : 9,902.58 = 2,706.54 : x
  2. Step 2: Convert to fraction form
    6,602.88/9,902.58 = 2,706.54/x
  3. Step 3: Cross multiply
    6,602.88x = 9,902.58 × 2,706.54
  4. Step 4: Simplify right side
    6,602.88x = 26,801,728.87
  5. Step 5: Solve for x
    x = 26,801,728.87/6,602.88
  6. Step 6: Final answer
    x = 4,059.10

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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.