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Finding the Fourth Proportional to 6,735.59, 10,108 and 2,353.05

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Solution

The fourth proportional to 6,735.59, 10,108 and 2,353.05 is: 3,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.59 : 10,108 = 2,353.05 : x
  2. Step 2: Convert to fraction form
    6,735.59/10,108 = 2,353.05/x
  3. Step 3: Cross multiply
    6,735.59x = 10,108 × 2,353.05
  4. Step 4: Simplify right side
    6,735.59x = 23,784,629.40
  5. Step 5: Solve for x
    x = 23,784,629.40/6,735.59
  6. Step 6: Final answer
    x = 3,531.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.