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Finding the Fourth Proportional to 6,164.60, 9,248.34 and 1,782.14

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Solution

The fourth proportional to 6,164.60, 9,248.34 and 1,782.14 is: 2,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.60 : 9,248.34 = 1,782.14 : x
  2. Step 2: Convert to fraction form
    6,164.60/9,248.34 = 1,782.14/x
  3. Step 3: Cross multiply
    6,164.60x = 9,248.34 × 1,782.14
  4. Step 4: Simplify right side
    6,164.60x = 16,481,836.65
  5. Step 5: Solve for x
    x = 16,481,836.65/6,164.60
  6. Step 6: Final answer
    x = 2,673.63

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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.