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Finding the Fourth Proportional to 6,929.64, 10,394.40 and 1,735.50

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Solution

The fourth proportional to 6,929.64, 10,394.40 and 1,735.50 is: 2,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.64 : 10,394.40 = 1,735.50 : x
  2. Step 2: Convert to fraction form
    6,929.64/10,394.40 = 1,735.50/x
  3. Step 3: Cross multiply
    6,929.64x = 10,394.40 × 1,735.50
  4. Step 4: Simplify right side
    6,929.64x = 18,039,481.20
  5. Step 5: Solve for x
    x = 18,039,481.20/6,929.64
  6. Step 6: Final answer
    x = 2,603.23

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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.