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Finding the Fourth Proportional to 6,164.82, 9,247.68 and 1,782.30

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Solution

The fourth proportional to 6,164.82, 9,247.68 and 1,782.30 is: 2,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.82 : 9,247.68 = 1,782.30 : x
  2. Step 2: Convert to fraction form
    6,164.82/9,247.68 = 1,782.30/x
  3. Step 3: Cross multiply
    6,164.82x = 9,247.68 × 1,782.30
  4. Step 4: Simplify right side
    6,164.82x = 16,482,140.06
  5. Step 5: Solve for x
    x = 16,482,140.06/6,164.82
  6. Step 6: Final answer
    x = 2,673.58

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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.