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Finding the Fourth Proportional to 6,165, 9,246.36 and 1,781.40

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Solution

The fourth proportional to 6,165, 9,246.36 and 1,781.40 is: 2,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165 : 9,246.36 = 1,781.40 : x
  2. Step 2: Convert to fraction form
    6,165/9,246.36 = 1,781.40/x
  3. Step 3: Cross multiply
    6,165x = 9,246.36 × 1,781.40
  4. Step 4: Simplify right side
    6,165x = 16,471,465.70
  5. Step 5: Solve for x
    x = 16,471,465.70/6,165
  6. Step 6: Final answer
    x = 2,671.77

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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.