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Finding the Fourth Proportional to 6,415.25, 9,623.42 and 1,798.25

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Solution

The fourth proportional to 6,415.25, 9,623.42 and 1,798.25 is: 2,697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.25 : 9,623.42 = 1,798.25 : x
  2. Step 2: Convert to fraction form
    6,415.25/9,623.42 = 1,798.25/x
  3. Step 3: Cross multiply
    6,415.25x = 9,623.42 × 1,798.25
  4. Step 4: Simplify right side
    6,415.25x = 17,305,306.02
  5. Step 5: Solve for x
    x = 17,305,306.02/6,415.25
  6. Step 6: Final answer
    x = 2,697.53

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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.