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Finding the Fourth Proportional to 6,735.60, 9,294.03 and 3,750.75

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Solution

The fourth proportional to 6,735.60, 9,294.03 and 3,750.75 is: 5,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.60 : 9,294.03 = 3,750.75 : x
  2. Step 2: Convert to fraction form
    6,735.60/9,294.03 = 3,750.75/x
  3. Step 3: Cross multiply
    6,735.60x = 9,294.03 × 3,750.75
  4. Step 4: Simplify right side
    6,735.60x = 34,859,583.02
  5. Step 5: Solve for x
    x = 34,859,583.02/6,735.60
  6. Step 6: Final answer
    x = 5,175.42

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1.5x scale

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.