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Finding the Fourth Proportional to 6,164.48, 9,246.36 and 1,781.84

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Solution

The fourth proportional to 6,164.48, 9,246.36 and 1,781.84 is: 2,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.48 : 9,246.36 = 1,781.84 : x
  2. Step 2: Convert to fraction form
    6,164.48/9,246.36 = 1,781.84/x
  3. Step 3: Cross multiply
    6,164.48x = 9,246.36 × 1,781.84
  4. Step 4: Simplify right side
    6,164.48x = 16,475,534.10
  5. Step 5: Solve for x
    x = 16,475,534.10/6,164.48
  6. Step 6: Final answer
    x = 2,672.66

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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.