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Finding the Fourth Proportional to 6,557.60, 9,836.26 and 1,627.26

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Solution

The fourth proportional to 6,557.60, 9,836.26 and 1,627.26 is: 2,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.60 : 9,836.26 = 1,627.26 : x
  2. Step 2: Convert to fraction form
    6,557.60/9,836.26 = 1,627.26/x
  3. Step 3: Cross multiply
    6,557.60x = 9,836.26 × 1,627.26
  4. Step 4: Simplify right side
    6,557.60x = 16,006,152.45
  5. Step 5: Solve for x
    x = 16,006,152.45/6,557.60
  6. Step 6: Final answer
    x = 2,440.86

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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.