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Finding the Fourth Proportional to 6,635.70, 9,155.61 and 4,275

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Solution

The fourth proportional to 6,635.70, 9,155.61 and 4,275 is: 5,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.70 : 9,155.61 = 4,275 : x
  2. Step 2: Convert to fraction form
    6,635.70/9,155.61 = 4,275/x
  3. Step 3: Cross multiply
    6,635.70x = 9,155.61 × 4,275
  4. Step 4: Simplify right side
    6,635.70x = 39,140,232.75
  5. Step 5: Solve for x
    x = 39,140,232.75/6,635.70
  6. Step 6: Final answer
    x = 5,898.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.