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Finding the Fourth Proportional to 6,735.02, 9,293.85 and 3,710.02

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Solution

The fourth proportional to 6,735.02, 9,293.85 and 3,710.02 is: 5,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.02 : 9,293.85 = 3,710.02 : x
  2. Step 2: Convert to fraction form
    6,735.02/9,293.85 = 3,710.02/x
  3. Step 3: Cross multiply
    6,735.02x = 9,293.85 × 3,710.02
  4. Step 4: Simplify right side
    6,735.02x = 34,480,369.38
  5. Step 5: Solve for x
    x = 34,480,369.38/6,735.02
  6. Step 6: Final answer
    x = 5,119.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.